-37=-5y+3(y-7)

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Solution for -37=-5y+3(y-7) equation:


Simplifying
-37 = -5y + 3(y + -7)

Reorder the terms:
-37 = -5y + 3(-7 + y)
-37 = -5y + (-7 * 3 + y * 3)
-37 = -5y + (-21 + 3y)

Reorder the terms:
-37 = -21 + -5y + 3y

Combine like terms: -5y + 3y = -2y
-37 = -21 + -2y

Solving
-37 = -21 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-37 + 2y = -21 + -2y + 2y

Combine like terms: -2y + 2y = 0
-37 + 2y = -21 + 0
-37 + 2y = -21

Add '37' to each side of the equation.
-37 + 37 + 2y = -21 + 37

Combine like terms: -37 + 37 = 0
0 + 2y = -21 + 37
2y = -21 + 37

Combine like terms: -21 + 37 = 16
2y = 16

Divide each side by '2'.
y = 8

Simplifying
y = 8

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