5y+3(y-2)=5(y+1)-4

Solution for 5y+3(y-2)=5(y+1)-4 equation:

Simplifying
5y + 3(y + -2) = 5(y + 1) + -4

Reorder the terms:
5y + 3(-2 + y) = 5(y + 1) + -4
5y + (-2 * 3 + y * 3) = 5(y + 1) + -4
5y + (-6 + 3y) = 5(y + 1) + -4

Reorder the terms:
-6 + 5y + 3y = 5(y + 1) + -4

Combine like terms: 5y + 3y = 8y
-6 + 8y = 5(y + 1) + -4

Reorder the terms:
-6 + 8y = 5(1 + y) + -4
-6 + 8y = (1 * 5 + y * 5) + -4
-6 + 8y = (5 + 5y) + -4

Reorder the terms:
-6 + 8y = 5 + -4 + 5y

Combine like terms: 5 + -4 = 1
-6 + 8y = 1 + 5y

Solving
-6 + 8y = 1 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-6 + 8y + -5y = 1 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-6 + 3y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 3y = 1 + 0
-6 + 3y = 1

Add '6' to each side of the equation.
-6 + 6 + 3y = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 1 + 6
3y = 1 + 6

Combine like terms: 1 + 6 = 7
3y = 7

Divide each side by '3'.
y = 2.333333333

Simplifying
y = 2.333333333