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

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


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

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

Reorder the terms:
21 + 3y = 5(3 + y)
21 + 3y = (3 * 5 + y * 5)
21 + 3y = (15 + 5y)

Solving
21 + 3y = 15 + 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 + 3y + -5y = 15 + 5y + -5y

Combine like terms: 3y + -5y = -2y
21 + -2y = 15 + 5y + -5y

Combine like terms: 5y + -5y = 0
21 + -2y = 15 + 0
21 + -2y = 15

Add '-21' to each side of the equation.
21 + -21 + -2y = 15 + -21

Combine like terms: 21 + -21 = 0
0 + -2y = 15 + -21
-2y = 15 + -21

Combine like terms: 15 + -21 = -6
-2y = -6

Divide each side by '-2'.
y = 3

Simplifying
y = 3

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