Solve y+1/7=y-7/6

$$\frac { y + 1 } { 7 } = \frac { y - 7 } { 6 }$$

Solve for y

$$y=55$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 7,6.

$$6\left(y+1\right)=7\left(y-7\right)$$

Use the distributive property to multiply 6 by y+1.

$$6y+6=7\left(y-7\right)$$

Use the distributive property to multiply 7 by y-7.

$$6y+6=7y-49$$

Subtract 7y from both sides.

$$6y+6-7y=-49$$

Combine 6y and -7y to get -y.

$$-y+6=-49$$

Subtract 6 from both sides.

$$-y=-49-6$$

Subtract 6 from -49 to get -55.

$$-y=-55$$

Multiply both sides by -1.

$$y=55$$