7y-6=4y-15

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


Simplifying
7y + -6 = 4y + -15

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

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

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

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

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

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

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

Combine like terms: -15 + 6 = -9
3y = -9

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

Simplifying
y = -3

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