Solve 9y+2/2=7y-4/6+5

$$\frac { 9 y + 2 } { 2 } = \frac { 7 y - 4 } { 6 } + 5$$

Solve for y

$$y=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$3\left(9y+2\right)=7y-4+30$$

Use the distributive property to multiply 3 by 9y+2.

$$27y+6=7y-4+30$$

Add -4 and 30 to get 26.

$$27y+6=7y+26$$

Subtract 7y from both sides.

$$27y+6-7y=26$$

Combine 27y and -7y to get 20y.

$$20y+6=26$$

Subtract 6 from both sides.

$$20y=26-6$$

Subtract 6 from 26 to get 20.

$$20y=20$$

Divide both sides by 20.

$$y=\frac{20}{20}$$

Divide 20 by 20 to get 1.

$$y=1$$