Solve 2(6y - 18) - 102 = 78 - 18(y + 2) | 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

$$2(6y-18)-102=78-18(y+2)$$

Solve for y

$y=6$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $6y-18$.

$$12y-36-102=78-18\left(y+2\right)$$

Subtract $102$ from $-36$ to get $-138$.

$$12y-138=78-18\left(y+2\right)$$

Use the distributive property to multiply $-18$ by $y+2$.

$$12y-138=78-18y-36$$

Subtract $36$ from $78$ to get $42$.

$$12y-138=42-18y$$

Add $18y$ to both sides.

$$12y-138+18y=42$$

Combine $12y$ and $18y$ to get $30y$.

$$30y-138=42$$

Add $138$ to both sides.

$$30y=42+138$$

Add $42$ and $138$ to get $180$.

$$30y=180$$

Divide both sides by $30$.

$$y=\frac{180}{30}$$

Divide $180$ by $30$ to get $6$.

$$y=6$$