Solve -11/12+3y+5/12y-4+1/12y

$$- \frac { 11 } { 12 } + 3 y + \frac { 5 } { 12 } y - 4 + \frac { 1 } { 12 } y$$

Evaluate

$$\frac{7y}{2}-\frac{59}{12}$$

Solution Steps

Combine 3y and \frac{5}{12}y to get \frac{41}{12}y.

$$-\frac{11}{12}+\frac{41}{12}y-4+\frac{1}{12}y$$

Convert 4 to fraction \frac{48}{12}.

$$-\frac{11}{12}+\frac{41}{12}y-\frac{48}{12}+\frac{1}{12}y$$

Since -\frac{11}{12} and \frac{48}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-48}{12}+\frac{41}{12}y+\frac{1}{12}y$$

Subtract 48 from -11 to get -59.

$$-\frac{59}{12}+\frac{41}{12}y+\frac{1}{12}y$$

Combine \frac{41}{12}y and \frac{1}{12}y to get \frac{7}{2}y.

$$-\frac{59}{12}+\frac{7}{2}y$$

Factor

$$\frac{42y-59}{12}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{-59+42y}{12}$$

Consider -11+36y+5y-48+y. Multiply and combine like terms.

$$42y-59$$

Rewrite the complete factored expression.

$$\frac{42y-59}{12}$$