Solve 8*(y+10)-30=5y

$$8 \cdot ( y + 10 ) - 30 = 5 y$$

Solve for y

$$y = -\frac{50}{3} = -16\frac{2}{3} \approx -16.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by y+10.

$$8y+80-30=5y$$

Subtract 30 from 80 to get 50.

$$8y+50=5y$$

Subtract 5y from both sides.

$$8y+50-5y=0$$

Combine 8y and -5y to get 3y.

$$3y+50=0$$

Subtract 50 from both sides. Anything subtracted from zero gives its negation.

$$3y=-50$$

Divide both sides by 3.

$$y=\frac{-50}{3}$$

Fraction \frac{-50}{3} can be rewritten as -\frac{50}{3} by extracting the negative sign.

$$y=-\frac{50}{3}$$