5y+3(y-3)=6(y+1)-4

Solution for 5y+3(y-3)=6(y+1)-4 equation:

Simplifying
5y + 3(y + -3) = 6(y + 1) + -4

Reorder the terms:
5y + 3(-3 + y) = 6(y + 1) + -4
5y + (-3 * 3 + y * 3) = 6(y + 1) + -4
5y + (-9 + 3y) = 6(y + 1) + -4

Reorder the terms:
-9 + 5y + 3y = 6(y + 1) + -4

Combine like terms: 5y + 3y = 8y
-9 + 8y = 6(y + 1) + -4

Reorder the terms:
-9 + 8y = 6(1 + y) + -4
-9 + 8y = (1 * 6 + y * 6) + -4
-9 + 8y = (6 + 6y) + -4

Reorder the terms:
-9 + 8y = 6 + -4 + 6y

Combine like terms: 6 + -4 = 2
-9 + 8y = 2 + 6y

Solving
-9 + 8y = 2 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-9 + 8y + -6y = 2 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-9 + 2y = 2 + 6y + -6y

Combine like terms: 6y + -6y = 0
-9 + 2y = 2 + 0
-9 + 2y = 2

Add '9' to each side of the equation.
-9 + 9 + 2y = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = 2 + 9
2y = 2 + 9

Combine like terms: 2 + 9 = 11
2y = 11

Divide each side by '2'.
y = 5.5

Simplifying
y = 5.5