3(y+7)=5(2y+7)

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Solution for 3(y+7)=5(2y+7) equation:


Simplifying
3(y + 7) = 5(2y + 7)

Reorder the terms:
3(7 + y) = 5(2y + 7)
(7 * 3 + y * 3) = 5(2y + 7)
(21 + 3y) = 5(2y + 7)

Reorder the terms:
21 + 3y = 5(7 + 2y)
21 + 3y = (7 * 5 + 2y * 5)
21 + 3y = (35 + 10y)

Solving
21 + 3y = 35 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
21 + 3y + -10y = 35 + 10y + -10y

Combine like terms: 3y + -10y = -7y
21 + -7y = 35 + 10y + -10y

Combine like terms: 10y + -10y = 0
21 + -7y = 35 + 0
21 + -7y = 35

Add '-21' to each side of the equation.
21 + -21 + -7y = 35 + -21

Combine like terms: 21 + -21 = 0
0 + -7y = 35 + -21
-7y = 35 + -21

Combine like terms: 35 + -21 = 14
-7y = 14

Divide each side by '-7'.
y = -2

Simplifying
y = -2

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