4(y+2)+2(3y-7)=3(3y-1)

Solution for 4(y+2)+2(3y-7)=3(3y-1) equation:

Simplifying
4(y + 2) + 2(3y + -7) = 3(3y + -1)

Reorder the terms:
4(2 + y) + 2(3y + -7) = 3(3y + -1)
(2 * 4 + y * 4) + 2(3y + -7) = 3(3y + -1)
(8 + 4y) + 2(3y + -7) = 3(3y + -1)

Reorder the terms:
8 + 4y + 2(-7 + 3y) = 3(3y + -1)
8 + 4y + (-7 * 2 + 3y * 2) = 3(3y + -1)
8 + 4y + (-14 + 6y) = 3(3y + -1)

Reorder the terms:
8 + -14 + 4y + 6y = 3(3y + -1)

Combine like terms: 8 + -14 = -6
-6 + 4y + 6y = 3(3y + -1)

Combine like terms: 4y + 6y = 10y
-6 + 10y = 3(3y + -1)

Reorder the terms:
-6 + 10y = 3(-1 + 3y)
-6 + 10y = (-1 * 3 + 3y * 3)
-6 + 10y = (-3 + 9y)

Solving
-6 + 10y = -3 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-6 + 10y + -9y = -3 + 9y + -9y

Combine like terms: 10y + -9y = 1y
-6 + 1y = -3 + 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + 1y = -3 + 0
-6 + 1y = -3

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

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

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

Divide each side by '1'.
y = 3

Simplifying
y = 3