(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)

Remove parenthesis around (15 + 2y)
15 + 2y = (6y + -7)

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

Remove parenthesis around (-7 + 6y)
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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