How to solve -2y+4=5y+9

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+4=5y+9 | 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

$$-2y+4=5y+9$$

Solve for y

$y=-\frac{5}{7}\approx -0.714285714$

Steps for Solving Linear Equation

Subtract $5y$ from both sides.

$$-2y+4-5y=9$$

Combine $-2y$ and $-5y$ to get $-7y$.

$$-7y+4=9$$

Subtract $4$ from both sides.

$$-7y=9-4$$

Subtract $4$ from $9$ to get $5$.

$$-7y=5$$

Divide both sides by $-7$.

$$y=\frac{5}{-7}$$

Fraction $\frac{5}{-7}$ can be rewritten as $-\frac{5}{7}$ by extracting the negative sign.

$$y=-\frac{5}{7}$$

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