4y+7=6y-15

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Solution for 4y+7=6y-15 equation:


Simplifying
4y + 7 = 6y + -15

Reorder the terms:
7 + 4y = 6y + -15

Reorder the terms:
7 + 4y = -15 + 6y

Solving
7 + 4y = -15 + 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.
7 + 4y + -6y = -15 + 6y + -6y

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

Combine like terms: 6y + -6y = 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 = -22
-2y = -22

Divide each side by '-2'.
y = 11

Simplifying
y = 11

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