Solve Y-1/2+3y+7/8=3

$$\frac { Y - 1 } { 2 } + \frac { 3 y + 7 } { 8 } = 3$$

Solve for Y

$$Y=\frac{21-3y}{4}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$4\left(Y-1\right)+3y+7=24$$

Use the distributive property to multiply 4 by Y-1.

$$4Y-4+3y+7=24$$

Add -4 and 7 to get 3.

$$4Y+3+3y=24$$

Subtract 3 from both sides.

$$4Y+3y=24-3$$

Subtract 3 from 24 to get 21.

$$4Y+3y=21$$

Subtract 3y from both sides.

$$4Y=21-3y$$

Divide both sides by 4.

$$\frac{4Y}{4}=\frac{21-3y}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$Y=\frac{21-3y}{4}$$

Solve for y

$$y=-\frac{4Y}{3}+7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$4\left(Y-1\right)+3y+7=24$$

Use the distributive property to multiply 4 by Y-1.

$$4Y-4+3y+7=24$$

Add -4 and 7 to get 3.

$$4Y+3+3y=24$$

Subtract 4Y from both sides.

$$3+3y=24-4Y$$

Subtract 3 from both sides.

$$3y=24-4Y-3$$

Subtract 3 from 24 to get 21.

$$3y=21-4Y$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{21-4Y}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{21-4Y}{3}$$

Divide 21-4Y by 3.

$$y=-\frac{4Y}{3}+7$$