Solve 9^2+9+y-3y=183/2

$${ 9 }^{ 2 } +9+y-3y= \frac{ 183 }{ 2 }$$

Solve for y

$$y=-\frac{3}{4}=-0.75$$

Steps for Solving Linear Equation

Calculate 9 to the power of 2 and get 81.

$$81+9+y-3y=\frac{183}{2}$$

Add 81 and 9 to get 90.

$$90+y-3y=\frac{183}{2}$$

Combine y and -3y to get -2y.

$$90-2y=\frac{183}{2}$$

Subtract 90 from both sides.

$$-2y=\frac{183}{2}-90$$

Convert 90 to fraction \frac{180}{2}.

$$-2y=\frac{183}{2}-\frac{180}{2}$$

Since \frac{183}{2} and \frac{180}{2} have the same denominator, subtract them by subtracting their numerators.

$$-2y=\frac{183-180}{2}$$

Subtract 180 from 183 to get 3.

$$-2y=\frac{3}{2}$$

Divide both sides by -2.

$$y=\frac{\frac{3}{2}}{-2}$$

Express \frac{\frac{3}{2}}{-2} as a single fraction.

$$y=\frac{3}{2\left(-2\right)}$$

Multiply 2 and -2 to get -4.

$$y=\frac{3}{-4}$$

Fraction \frac{3}{-4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$y=-\frac{3}{4}$$