2y+15=6y-7

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Solution for 2y+15=6y-7 equation:


Simplifying
2y + 15 = 6y + -7

Reorder the terms:
15 + 2y = 6y + -7

Reorder the terms:
15 + 2y = -7 + 6y

Solving
15 + 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.
15 + 2y + -6y = -7 + 6y + -6y

Combine like terms: 2y + -6y = -4y
15 + -4y = -7 + 6y + -6y

Combine like terms: 6y + -6y = 0
15 + -4y = -7 + 0
15 + -4y = -7

Add '-15' to each side of the equation.
15 + -15 + -4y = -7 + -15

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

Combine like terms: -7 + -15 = -22
-4y = -22

Divide each side by '-4'.
y = 5.5

Simplifying
y = 5.5

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