Solve 3/4y+9/2+6y=3

$$\frac { 3 } { 4 } y + \frac { 9 } { 2 } + 6 y = 3$$

Solve for y

$$y=-\frac{2}{9}\approx -0.222222222$$

Steps for Solving Linear Equation

Combine \frac{3}{4}y and 6y to get \frac{27}{4}y.

$$\frac{27}{4}y+\frac{9}{2}=3$$

Subtract \frac{9}{2} from both sides.

$$\frac{27}{4}y=3-\frac{9}{2}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{27}{4}y=\frac{6}{2}-\frac{9}{2}$$

Since \frac{6}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27}{4}y=\frac{6-9}{2}$$

Subtract 9 from 6 to get -3.

$$\frac{27}{4}y=-\frac{3}{2}$$

Multiply both sides by \frac{4}{27}, the reciprocal of \frac{27}{4}.

$$y=-\frac{3}{2}\times \frac{4}{27}$$

Multiply -\frac{3}{2} times \frac{4}{27} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{-3\times 4}{2\times 27}$$

Do the multiplications in the fraction \frac{-3\times 4}{2\times 27}.

$$y=\frac{-12}{54}$$

Reduce the fraction \frac{-12}{54} to lowest terms by extracting and canceling out 6.

$$y=-\frac{2}{9}$$