Solve 3(y - 1/3) = 2(2y - 6) | 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

$$3(y-\frac{1}{3})=2(2y-6)$$

Solve for y

$y=11$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $y-\frac{1}{3}$.

$$3y+3\left(-\frac{1}{3}\right)=2\left(2y-6\right)$$

Cancel out $3$ and $3$.

$$3y-1=2\left(2y-6\right)$$

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

$$3y-1=4y-12$$

Subtract $4y$ from both sides.

$$3y-1-4y=-12$$

Combine $3y$ and $-4y$ to get $-y$.

$$-y-1=-12$$

Add $1$ to both sides.

$$-y=-12+1$$

Add $-12$ and $1$ to get $-11$.

$$-y=-11$$

Multiply both sides by $-1$.

$$y=11$$