Solve 4(7y+2)-9(5-y)=-43

$$4 ( 7 y + 2 ) - 9 ( 5 - y ) = - 43$$

Solve for y

$$y=-\frac{6}{37}\approx -0.162162162$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 7y+2.

$$28y+8-9\left(5-y\right)=-43$$

Use the distributive property to multiply -9 by 5-y.

$$28y+8-45+9y=-43$$

Subtract 45 from 8 to get -37.

$$28y-37+9y=-43$$

Combine 28y and 9y to get 37y.

$$37y-37=-43$$

Add 37 to both sides.

$$37y=-43+37$$

Add -43 and 37 to get -6.

$$37y=-6$$

Divide both sides by 37.

$$y=\frac{-6}{37}$$

Fraction \frac{-6}{37} can be rewritten as -\frac{6}{37} by extracting the negative sign.

$$y=-\frac{6}{37}$$