7y-2(3-y)=4(y+1)

Solution for 7y-2(3-y)=4(y+1) equation:

Simplifying
7y + -2(3 + -1y) = 4(y + 1)
7y + (3 * -2 + -1y * -2) = 4(y + 1)
7y + (-6 + 2y) = 4(y + 1)

Reorder the terms:
-6 + 7y + 2y = 4(y + 1)

Combine like terms: 7y + 2y = 9y
-6 + 9y = 4(y + 1)

Reorder the terms:
-6 + 9y = 4(1 + y)
-6 + 9y = (1 * 4 + y * 4)
-6 + 9y = (4 + 4y)

Solving
-6 + 9y = 4 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
-6 + 9y + -4y = 4 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-6 + 5y = 4 + 4y + -4y

Combine like terms: 4y + -4y = 0
-6 + 5y = 4 + 0
-6 + 5y = 4

Add '6' to each side of the equation.
-6 + 6 + 5y = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 4 + 6
5y = 4 + 6

Combine like terms: 4 + 6 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2