Solve 4-9(y+6)=5(y-1)-26y

$$4-9(y+6)=5(y-1)-26y$$

Solve for y

$$y = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply -9 by y+6.

$$4-9y-54=5\left(y-1\right)-26y$$

Subtract 54 from 4 to get -50.

$$-50-9y=5\left(y-1\right)-26y$$

Use the distributive property to multiply 5 by y-1.

$$-50-9y=5y-5-26y$$

Combine 5y and -26y to get -21y.

$$-50-9y=-21y-5$$

Add 21y to both sides.

$$-50-9y+21y=-5$$

Combine -9y and 21y to get 12y.

$$-50+12y=-5$$

Add 50 to both sides.

$$12y=-5+50$$

Add -5 and 50 to get 45.

$$12y=45$$

Divide both sides by 12.

$$y=\frac{45}{12}$$

Reduce the fraction \frac{45}{12} to lowest terms by extracting and canceling out 3.

$$y=\frac{15}{4}$$