7(y-3)=5y-33

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Solution for 7(y-3)=5y-33 equation: 


Simplifying
7(y + -3) = 5y + -33

Reorder the terms:
7(-3 + y) = 5y + -33
(-3 * 7 + y * 7) = 5y + -33
(-21 + 7y) = 5y + -33

Reorder the terms:
-21 + 7y = -33 + 5y

Solving
-21 + 7y = -33 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-21 + 7y + -5y = -33 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-21 + 2y = -33 + 5y + -5y

Combine like terms: 5y + -5y = 0
-21 + 2y = -33 + 0
-21 + 2y = -33

Add '21' to each side of the equation.
-21 + 21 + 2y = -33 + 21

Combine like terms: -21 + 21 = 0
0 + 2y = -33 + 21
2y = -33 + 21

Combine like terms: -33 + 21 = -12
2y = -12

Divide each side by '2'.
y = -6

Simplifying
y = -6

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