6(2y+5)+7(1-y)=57

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Solution for 6(2y+5)+7(1-y)=57 equation: 


Simplifying
6(2y + 5) + 7(1 + -1y) = 57

Reorder the terms:
6(5 + 2y) + 7(1 + -1y) = 57
(5 * 6 + 2y * 6) + 7(1 + -1y) = 57
(30 + 12y) + 7(1 + -1y) = 57
30 + 12y + (1 * 7 + -1y * 7) = 57
30 + 12y + (7 + -7y) = 57

Reorder the terms:
30 + 7 + 12y + -7y = 57

Combine like terms: 30 + 7 = 37
37 + 12y + -7y = 57

Combine like terms: 12y + -7y = 5y
37 + 5y = 57

Solving
37 + 5y = 57

Solving for variable 'y'.

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

Add '-37' to each side of the equation.
37 + -37 + 5y = 57 + -37

Combine like terms: 37 + -37 = 0
0 + 5y = 57 + -37
5y = 57 + -37

Combine like terms: 57 + -37 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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