Solve 5(8-3/2y)+2y=18

$$5 ( 8 - \frac { 3 } { 2 } y ) + 2 y = 18$$

Solve for y

$$y=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 8-\frac{3}{2}y.

$$40+5\left(-\frac{3}{2}\right)y+2y=18$$

Express 5\left(-\frac{3}{2}\right) as a single fraction.

$$40+\frac{5\left(-3\right)}{2}y+2y=18$$

Multiply 5 and -3 to get -15.

$$40+\frac{-15}{2}y+2y=18$$

Fraction \frac{-15}{2} can be rewritten as -\frac{15}{2} by extracting the negative sign.

$$40-\frac{15}{2}y+2y=18$$

Combine -\frac{15}{2}y and 2y to get -\frac{11}{2}y.

$$40-\frac{11}{2}y=18$$

Subtract 40 from both sides.

$$-\frac{11}{2}y=18-40$$

Subtract 40 from 18 to get -22.

$$-\frac{11}{2}y=-22$$

Multiply both sides by -\frac{2}{11}, the reciprocal of -\frac{11}{2}.

$$y=-22\left(-\frac{2}{11}\right)$$

Express -22\left(-\frac{2}{11}\right) as a single fraction.

$$y=\frac{-22\left(-2\right)}{11}$$

Multiply -22 and -2 to get 44.

$$y=\frac{44}{11}$$

Divide 44 by 11 to get 4.

$$y=4$$