Solve 4(y+2)=-3(5y-6)+y

$$4 ( y + 2 ) = - 3 ( 5 y - 6 ) + y$$

Solve for y

$$y=\frac{5}{9}\approx 0.555555556$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by y+2.

$$4y+8=-3\left(5y-6\right)+y$$

Use the distributive property to multiply -3 by 5y-6.

$$4y+8=-15y+18+y$$

Combine -15y and y to get -14y.

$$4y+8=-14y+18$$

Add 14y to both sides.

$$4y+8+14y=18$$

Combine 4y and 14y to get 18y.

$$18y+8=18$$

Subtract 8 from both sides.

$$18y=18-8$$

Subtract 8 from 18 to get 10.

$$18y=10$$

Divide both sides by 18.

$$y=\frac{10}{18}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$y=\frac{5}{9}$$