Solve 112left(5y-1right)+3left(134-7yright)=36

$$112 \left( 5y-1 \right) +3 \left( 134-7y \right) = 36$$

Solve for y

$$y=-\frac{254}{539}\approx -0.471243043$$

Steps for Solving Linear Equation

Use the distributive property to multiply 112 by 5y-1.

$$560y-112+3\left(134-7y\right)=36$$

Use the distributive property to multiply 3 by 134-7y.

$$560y-112+402-21y=36$$

Add -112 and 402 to get 290.

$$560y+290-21y=36$$

Combine 560y and -21y to get 539y.

$$539y+290=36$$

Subtract 290 from both sides.

$$539y=36-290$$

Subtract 290 from 36 to get -254.

$$539y=-254$$

Divide both sides by 539.

$$y=\frac{-254}{539}$$

Fraction \frac{-254}{539} can be rewritten as -\frac{254}{539} by extracting the negative sign.

$$y=-\frac{254}{539}$$