How to solve 2y/5-3/2=y/2+1

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 2y/5-3/2=y/2+1 | 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

$$2y/5-3/2=y/2+1$$

Solve for y

$y=-25$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $5,2$.

$$2\times 2y-15=5y+10$$

Multiply $2$ and $2$ to get $4$.

$$4y-15=5y+10$$

Subtract $5y$ from both sides.

$$4y-15-5y=10$$

Combine $4y$ and $-5y$ to get $-y$.

$$-y-15=10$$

Add $15$ to both sides.

$$-y=10+15$$

Add $10$ and $15$ to get $25$.

$$-y=25$$

Multiply both sides by $-1$.

$$y=-25$$

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