5y-3(y+2)=y+4

Solution for 5y-3(y+2)=y+4 equation:

Simplifying
5y + -3(y + 2) = y + 4

Reorder the terms:
5y + -3(2 + y) = y + 4
5y + (2 * -3 + y * -3) = y + 4
5y + (-6 + -3y) = y + 4

Reorder the terms:
-6 + 5y + -3y = y + 4

Combine like terms: 5y + -3y = 2y
-6 + 2y = y + 4

Reorder the terms:
-6 + 2y = 4 + y

Solving
-6 + 2y = 4 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-6 + 2y + -1y = 4 + y + -1y

Combine like terms: 2y + -1y = 1y
-6 + 1y = 4 + y + -1y

Combine like terms: y + -1y = 0
-6 + 1y = 4 + 0
-6 + 1y = 4

Add '6' to each side of the equation.
-6 + 6 + 1y = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 4 + 6
1y = 4 + 6

Combine like terms: 4 + 6 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10