(2(2y-13)3)=3y-22

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Solution for (2(2y-13)3)=3y-22 equation:


Simplifying
(2(2y + -13) * 3) = 3y + -22

Reorder the terms:
(2(-13 + 2y) * 3) = 3y + -22

Reorder the terms for easier multiplication:
(2 * 3(-13 + 2y)) = 3y + -22

Multiply 2 * 3
(6(-13 + 2y)) = 3y + -22
((-13 * 6 + 2y * 6)) = 3y + -22
((-78 + 12y)) = 3y + -22
(-78 + 12y) = 3y + -22

Remove parenthesis around (-78 + 12y)
-78 + 12y = 3y + -22

Reorder the terms:
-78 + 12y = -22 + 3y

Solving
-78 + 12y = -22 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-78 + 12y + -3y = -22 + 3y + -3y

Combine like terms: 12y + -3y = 9y
-78 + 9y = -22 + 3y + -3y

Combine like terms: 3y + -3y = 0
-78 + 9y = -22 + 0
-78 + 9y = -22

Add '78' to each side of the equation.
-78 + 78 + 9y = -22 + 78

Combine like terms: -78 + 78 = 0
0 + 9y = -22 + 78
9y = -22 + 78

Combine like terms: -22 + 78 = 56
9y = 56

Divide each side by '9'.
y = 6.222222222

Simplifying
y = 6.222222222

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