2(y-7)-5y=31

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Solution for 2(y-7)-5y=31 equation:


Simplifying
2(y + -7) + -5y = 31

Reorder the terms:
2(-7 + y) + -5y = 31
(-7 * 2 + y * 2) + -5y = 31
(-14 + 2y) + -5y = 31

Combine like terms: 2y + -5y = -3y
-14 + -3y = 31

Solving
-14 + -3y = 31

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + -3y = 31 + 14

Combine like terms: -14 + 14 = 0
0 + -3y = 31 + 14
-3y = 31 + 14

Combine like terms: 31 + 14 = 45
-3y = 45

Divide each side by '-3'.
y = -15

Simplifying
y = -15

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