Solve -5(9-y)/9=7(y-2)/9

$$\frac { - 5 ( 9 - y ) } { 9 } = \frac { 7 ( y - 2 ) } { 9 }$$

Solve for y

$$y = -\frac{31}{2} = -15\frac{1}{2} = -15.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$-5\left(9-y\right)=7\left(y-2\right)$$

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

$$-45+5y=7\left(y-2\right)$$

Use the distributive property to multiply 7 by y-2.

$$-45+5y=7y-14$$

Subtract 7y from both sides.

$$-45+5y-7y=-14$$

Combine 5y and -7y to get -2y.

$$-45-2y=-14$$

Add 45 to both sides.

$$-2y=-14+45$$

Add -14 and 45 to get 31.

$$-2y=31$$

Divide both sides by -2.

$$y=\frac{31}{-2}$$

Fraction \frac{31}{-2} can be rewritten as -\frac{31}{2} by extracting the negative sign.

$$y=-\frac{31}{2}$$