7y-37=4(y-4)

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Solution for 7y-37=4(y-4) equation:


Simplifying
7y + -37 = 4(y + -4)

Reorder the terms:
-37 + 7y = 4(y + -4)

Reorder the terms:
-37 + 7y = 4(-4 + y)
-37 + 7y = (-4 * 4 + y * 4)
-37 + 7y = (-16 + 4y)

Solving
-37 + 7y = -16 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-37 + 7y + -4y = -16 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-37 + 3y = -16 + 4y + -4y

Combine like terms: 4y + -4y = 0
-37 + 3y = -16 + 0
-37 + 3y = -16

Add '37' to each side of the equation.
-37 + 37 + 3y = -16 + 37

Combine like terms: -37 + 37 = 0
0 + 3y = -16 + 37
3y = -16 + 37

Combine like terms: -16 + 37 = 21
3y = 21

Divide each side by '3'.
y = 7

Simplifying
y = 7

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