2(y+5)-3(y-6)=35

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Solution for 2(y+5)-3(y-6)=35 equation: 


Simplifying
2(y + 5) + -3(y + -6) = 35

Reorder the terms:
2(5 + y) + -3(y + -6) = 35
(5 * 2 + y * 2) + -3(y + -6) = 35
(10 + 2y) + -3(y + -6) = 35

Reorder the terms:
10 + 2y + -3(-6 + y) = 35
10 + 2y + (-6 * -3 + y * -3) = 35
10 + 2y + (18 + -3y) = 35

Reorder the terms:
10 + 18 + 2y + -3y = 35

Combine like terms: 10 + 18 = 28
28 + 2y + -3y = 35

Combine like terms: 2y + -3y = -1y
28 + -1y = 35

Solving
28 + -1y = 35

Solving for variable 'y'.

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

Add '-28' to each side of the equation.
28 + -28 + -1y = 35 + -28

Combine like terms: 28 + -28 = 0
0 + -1y = 35 + -28
-1y = 35 + -28

Combine like terms: 35 + -28 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7

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