6(2y+5)-2(3y-7)=72

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Solution for 6(2y+5)-2(3y-7)=72 equation: 


Simplifying
6(2y + 5) + -2(3y + -7) = 72

Reorder the terms:
6(5 + 2y) + -2(3y + -7) = 72
(5 * 6 + 2y * 6) + -2(3y + -7) = 72
(30 + 12y) + -2(3y + -7) = 72

Reorder the terms:
30 + 12y + -2(-7 + 3y) = 72
30 + 12y + (-7 * -2 + 3y * -2) = 72
30 + 12y + (14 + -6y) = 72

Reorder the terms:
30 + 14 + 12y + -6y = 72

Combine like terms: 30 + 14 = 44
44 + 12y + -6y = 72

Combine like terms: 12y + -6y = 6y
44 + 6y = 72

Solving
44 + 6y = 72

Solving for variable 'y'.

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

Add '-44' to each side of the equation.
44 + -44 + 6y = 72 + -44

Combine like terms: 44 + -44 = 0
0 + 6y = 72 + -44
6y = 72 + -44

Combine like terms: 72 + -44 = 28
6y = 28

Divide each side by '6'.
y = 4.666666667

Simplifying
y = 4.666666667

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