Solve 10y-5(14y)=3(2y-2)-20

$$10y-5(14y)=3(2y-2)-20$$

Solve for y

$$y=\frac{13}{33}\approx 0.393939394$$

Steps for Solving Linear Equation

Multiply 5 and 14 to get 70.

$$10y-70y=3\left(2y-2\right)-20$$

Combine 10y and -70y to get -60y.

$$-60y=3\left(2y-2\right)-20$$

Use the distributive property to multiply 3 by 2y-2.

$$-60y=6y-6-20$$

Subtract 20 from -6 to get -26.

$$-60y=6y-26$$

Subtract 6y from both sides.

$$-60y-6y=-26$$

Combine -60y and -6y to get -66y.

$$-66y=-26$$

Divide both sides by -66.

$$y=\frac{-26}{-66}$$

Reduce the fraction \frac{-26}{-66} to lowest terms by extracting and canceling out -2.

$$y=\frac{13}{33}$$