Solve 18(y - 4) - 2(y - 9) + 5(y + 6) = 0 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$18(y-4)-2(y-9)+5(y+6)=0$$

Solve for y

$y = \frac{8}{7} = 1\frac{1}{7} \approx 1.142857143$

Steps for Solving Linear Equation

Use the distributive property to multiply $18$ by $y-4$.

$$18y-72-2\left(y-9\right)+5\left(y+6\right)=0$$

Use the distributive property to multiply $-2$ by $y-9$.

$$18y-72-2y+18+5\left(y+6\right)=0$$

Combine $18y$ and $-2y$ to get $16y$.

$$16y-72+18+5\left(y+6\right)=0$$

Add $-72$ and $18$ to get $-54$.

$$16y-54+5\left(y+6\right)=0$$

Use the distributive property to multiply $5$ by $y+6$.

$$16y-54+5y+30=0$$

Combine $16y$ and $5y$ to get $21y$.

$$21y-54+30=0$$

Add $-54$ and $30$ to get $-24$.

$$21y-24=0$$

Add $24$ to both sides. Anything plus zero gives itself.

$$21y=24$$

Divide both sides by $21$.

$$y=\frac{24}{21}$$

Reduce the fraction $\frac{24}{21}$ to lowest terms by extracting and canceling out $3$.

$$y=\frac{8}{7}$$