Solve 5(3-4y)=1+2(y+1)

$$5 ( 3 - 4 y ) = 1 + 2 ( y + 1 )$$

Solve for y

$$y=\frac{6}{11}\approx 0.545454545$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 3-4y.

$$15-20y=1+2\left(y+1\right)$$

Use the distributive property to multiply 2 by y+1.

$$15-20y=1+2y+2$$

Add 1 and 2 to get 3.

$$15-20y=3+2y$$

Subtract 2y from both sides.

$$15-20y-2y=3$$

Combine -20y and -2y to get -22y.

$$15-22y=3$$

Subtract 15 from both sides.

$$-22y=3-15$$

Subtract 15 from 3 to get -12.

$$-22y=-12$$

Divide both sides by -22.

$$y=\frac{-12}{-22}$$

Reduce the fraction \frac{-12}{-22} to lowest terms by extracting and canceling out -2.

$$y=\frac{6}{11}$$