7y+15=4y-6

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


Simplifying
7y + 15 = 4y + -6

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

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

Solving
15 + 7y = -6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
15 + 7y + -4y = -6 + 4y + -4y

Combine like terms: 7y + -4y = 3y
15 + 3y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
15 + 3y = -6 + 0
15 + 3y = -6

Add '-15' to each side of the equation.
15 + -15 + 3y = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 3y = -6 + -15
3y = -6 + -15

Combine like terms: -6 + -15 = -21
3y = -21

Divide each side by '3'.
y = -7

Simplifying
y = -7

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