7(y-3)=3y-37

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


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

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

Reorder the terms:
-21 + 7y = -37 + 3y

Solving
-21 + 7y = -37 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-21 + 7y + -3y = -37 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-21 + 4y = -37 + 3y + -3y

Combine like terms: 3y + -3y = 0
-21 + 4y = -37 + 0
-21 + 4y = -37

Add '21' to each side of the equation.
-21 + 21 + 4y = -37 + 21

Combine like terms: -21 + 21 = 0
0 + 4y = -37 + 21
4y = -37 + 21

Combine like terms: -37 + 21 = -16
4y = -16

Divide each side by '4'.
y = -4

Simplifying
y = -4

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