3y+17=7y-15

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Solution for 3y+17=7y-15 equation:


Simplifying
3y + 17 = 7y + -15

Reorder the terms:
17 + 3y = 7y + -15

Reorder the terms:
17 + 3y = -15 + 7y

Solving
17 + 3y = -15 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
17 + 3y + -7y = -15 + 7y + -7y

Combine like terms: 3y + -7y = -4y
17 + -4y = -15 + 7y + -7y

Combine like terms: 7y + -7y = 0
17 + -4y = -15 + 0
17 + -4y = -15

Add '-17' to each side of the equation.
17 + -17 + -4y = -15 + -17

Combine like terms: 17 + -17 = 0
0 + -4y = -15 + -17
-4y = -15 + -17

Combine like terms: -15 + -17 = -32
-4y = -32

Divide each side by '-4'.
y = 8

Simplifying
y = 8

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