7y+2(y+3)=10(y-3)+6

Solution for 7y+2(y+3)=10(y-3)+6 equation:

Simplifying
7y + 2(y + 3) = 10(y + -3) + 6

Reorder the terms:
7y + 2(3 + y) = 10(y + -3) + 6
7y + (3 * 2 + y * 2) = 10(y + -3) + 6
7y + (6 + 2y) = 10(y + -3) + 6

Reorder the terms:
6 + 7y + 2y = 10(y + -3) + 6

Combine like terms: 7y + 2y = 9y
6 + 9y = 10(y + -3) + 6

Reorder the terms:
6 + 9y = 10(-3 + y) + 6
6 + 9y = (-3 * 10 + y * 10) + 6
6 + 9y = (-30 + 10y) + 6

Reorder the terms:
6 + 9y = -30 + 6 + 10y

Combine like terms: -30 + 6 = -24
6 + 9y = -24 + 10y

Solving
6 + 9y = -24 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
6 + 9y + -10y = -24 + 10y + -10y

Combine like terms: 9y + -10y = -1y
6 + -1y = -24 + 10y + -10y

Combine like terms: 10y + -10y = 0
6 + -1y = -24 + 0
6 + -1y = -24

Add '-6' to each side of the equation.
6 + -6 + -1y = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = -24 + -6
-1y = -24 + -6

Combine like terms: -24 + -6 = -30
-1y = -30

Divide each side by '-1'.
y = 30

Simplifying
y = 30