3y-6=10y+15

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Solution for 3y-6=10y+15 equation:


Simplifying
3y + -6 = 10y + 15

Reorder the terms:
-6 + 3y = 10y + 15

Reorder the terms:
-6 + 3y = 15 + 10y

Solving
-6 + 3y = 15 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-6 + 3y + -10y = 15 + 10y + -10y

Combine like terms: 3y + -10y = -7y
-6 + -7y = 15 + 10y + -10y

Combine like terms: 10y + -10y = 0
-6 + -7y = 15 + 0
-6 + -7y = 15

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

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

Combine like terms: 15 + 6 = 21
-7y = 21

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

Simplifying
y = -3

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