Solve 15(y-6)+99=3(5+2y)-4y

$$15 ( y - 6 ) + 99 = 3 ( 5 + 2 y ) - 4 y$$

Solve for y

$$y=\frac{6}{13}\approx 0.461538462$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15 by y-6.

$$15y-90+99=3\left(5+2y\right)-4y$$

Add -90 and 99 to get 9.

$$15y+9=3\left(5+2y\right)-4y$$

Use the distributive property to multiply 3 by 5+2y.

$$15y+9=15+6y-4y$$

Combine 6y and -4y to get 2y.

$$15y+9=15+2y$$

Subtract 2y from both sides.

$$15y+9-2y=15$$

Combine 15y and -2y to get 13y.

$$13y+9=15$$

Subtract 9 from both sides.

$$13y=15-9$$

Subtract 9 from 15 to get 6.

$$13y=6$$

Divide both sides by 13.

$$y=\frac{6}{13}$$