2y+10=6y-6

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Solution for 2y+10=6y-6 equation:


Simplifying
2y + 10 = 6y + -6

Reorder the terms:
10 + 2y = 6y + -6

Reorder the terms:
10 + 2y = -6 + 6y

Solving
10 + 2y = -6 + 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.
10 + 2y + -6y = -6 + 6y + -6y

Combine like terms: 2y + -6y = -4y
10 + -4y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + -4y = -6 + 0
10 + -4y = -6

Add '-10' to each side of the equation.
10 + -10 + -4y = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -4y = -6 + -10
-4y = -6 + -10

Combine like terms: -6 + -10 = -16
-4y = -16

Divide each side by '-4'.
y = 4

Simplifying
y = 4

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