Solve y-45/14=-511/21

$$y - 4 \frac { 5 } { 14 } = - 5 \frac { 11 } { 21 }$$

Solve for y

$$y = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 14,21.

$$42y-3\left(4\times 14+5\right)=-2\left(5\times 21+11\right)$$

Multiply 4 and 14 to get 56.

$$42y-3\left(56+5\right)=-2\left(5\times 21+11\right)$$

Add 56 and 5 to get 61.

$$42y-3\times 61=-2\left(5\times 21+11\right)$$

Multiply -3 and 61 to get -183.

$$42y-183=-2\left(5\times 21+11\right)$$

Multiply 5 and 21 to get 105.

$$42y-183=-2\left(105+11\right)$$

Add 105 and 11 to get 116.

$$42y-183=-2\times 116$$

Multiply -2 and 116 to get -232.

$$42y-183=-232$$

Add 183 to both sides.

$$42y=-232+183$$

Add -232 and 183 to get -49.

$$42y=-49$$

Divide both sides by 42.

$$y=\frac{-49}{42}$$

Reduce the fraction \frac{-49}{42} to lowest terms by extracting and canceling out 7.

$$y=-\frac{7}{6}$$