6(y-3)+3(y+1)=30

Solution for 6(y-3)+3(y+1)=30 equation:

Simplifying
6(y + -3) + 3(y + 1) = 30

Reorder the terms:
6(-3 + y) + 3(y + 1) = 30
(-3 * 6 + y * 6) + 3(y + 1) = 30
(-18 + 6y) + 3(y + 1) = 30

Reorder the terms:
-18 + 6y + 3(1 + y) = 30
-18 + 6y + (1 * 3 + y * 3) = 30
-18 + 6y + (3 + 3y) = 30

Reorder the terms:
-18 + 3 + 6y + 3y = 30

Combine like terms: -18 + 3 = -15
-15 + 6y + 3y = 30

Combine like terms: 6y + 3y = 9y
-15 + 9y = 30

Solving
-15 + 9y = 30

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 9y = 30 + 15

Combine like terms: -15 + 15 = 0
0 + 9y = 30 + 15
9y = 30 + 15

Combine like terms: 30 + 15 = 45
9y = 45

Divide each side by '9'.
y = 5

Simplifying
y = 5