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

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

Simplifying
6(2y + -7) + -3(3 + -2y) = 0

Reorder the terms:
6(-7 + 2y) + -3(3 + -2y) = 0
(-7 * 6 + 2y * 6) + -3(3 + -2y) = 0
(-42 + 12y) + -3(3 + -2y) = 0
-42 + 12y + (3 * -3 + -2y * -3) = 0
-42 + 12y + (-9 + 6y) = 0

Reorder the terms:
-42 + -9 + 12y + 6y = 0

Combine like terms: -42 + -9 = -51
-51 + 12y + 6y = 0

Combine like terms: 12y + 6y = 18y
-51 + 18y = 0

Solving
-51 + 18y = 0

Solving for variable 'y'.

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

Add '51' to each side of the equation.
-51 + 51 + 18y = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 18y = 0 + 51
18y = 0 + 51

Combine like terms: 0 + 51 = 51
18y = 51

Divide each side by '18'.
y = 2.833333333

Simplifying
y = 2.833333333