3y+7=5y+15

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Solution for 3y+7=5y+15 equation:


Simplifying
3y + 7 = 5y + 15

Reorder the terms:
7 + 3y = 5y + 15

Reorder the terms:
7 + 3y = 15 + 5y

Solving
7 + 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.
7 + 3y + -5y = 15 + 5y + -5y

Combine like terms: 3y + -5y = -2y
7 + -2y = 15 + 5y + -5y

Combine like terms: 5y + -5y = 0
7 + -2y = 15 + 0
7 + -2y = 15

Add '-7' to each side of the equation.
7 + -7 + -2y = 15 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 15 + -7
-2y = 15 + -7

Combine like terms: 15 + -7 = 8
-2y = 8

Divide each side by '-2'.
y = -4

Simplifying
y = -4

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