Solve 4(3y-3)=-22

$$4 ( 3 y - 3 ) = - 22$$

Solve for y

$$y=-\frac{5}{6}\approx -0.833333333$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$3y-3=\frac{-22}{4}$$

Reduce the fraction \frac{-22}{4} to lowest terms by extracting and canceling out 2.

$$3y-3=-\frac{11}{2}$$

Add 3 to both sides.

$$3y=-\frac{11}{2}+3$$

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

$$3y=-\frac{11}{2}+\frac{6}{2}$$

Since -\frac{11}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$3y=\frac{-11+6}{2}$$

Add -11 and 6 to get -5.

$$3y=-\frac{5}{2}$$

Divide both sides by 3.

$$y=\frac{-\frac{5}{2}}{3}$$

Express \frac{-\frac{5}{2}}{3} as a single fraction.

$$y=\frac{-5}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$y=\frac{-5}{6}$$

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$y=-\frac{5}{6}$$