How to solve 3-2(2-y)=7

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3-2(2-y)=7 | Equatix

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

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$3-2(2-y)=7$$

Solve for y

$y=4$

Steps for Solving Linear Equation

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

$$3-4+2y=7$$

Subtract $4$ from $3$ to get $-1$.

$$-1+2y=7$$

Add $1$ to both sides.

$$2y=7+1$$

Add $7$ and $1$ to get $8$.

$$2y=8$$

Divide both sides by $2$.

$$y=\frac{8}{2}$$

Divide $8$ by $2$ to get $4$.

$$y=4$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for y

Steps for Solving Linear Equation