7(y+3)-5y=y(5+1)-7

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Solution for 7(y+3)-5y=y(5+1)-7 equation: 


Simplifying
7(y + 3) + -5y = y(5 + 1) + -7

Reorder the terms:
7(3 + y) + -5y = y(5 + 1) + -7
(3 * 7 + y * 7) + -5y = y(5 + 1) + -7
(21 + 7y) + -5y = y(5 + 1) + -7

Combine like terms: 7y + -5y = 2y
21 + 2y = y(5 + 1) + -7

Combine like terms: 5 + 1 = 6
21 + 2y = y(6) + -7

Reorder the terms for easier multiplication:
21 + 2y = 6y + -7

Reorder the terms:
21 + 2y = -7 + 6y

Solving
21 + 2y = -7 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
21 + 2y + -6y = -7 + 6y + -6y

Combine like terms: 2y + -6y = -4y
21 + -4y = -7 + 6y + -6y

Combine like terms: 6y + -6y = 0
21 + -4y = -7 + 0
21 + -4y = -7

Add '-21' to each side of the equation.
21 + -21 + -4y = -7 + -21

Combine like terms: 21 + -21 = 0
0 + -4y = -7 + -21
-4y = -7 + -21

Combine like terms: -7 + -21 = -28
-4y = -28

Divide each side by '-4'.
y = 7

Simplifying
y = 7

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