2y+78=6y-10

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Solution for 2y+78=6y-10 equation:


Simplifying
2y + 78 = 6y + -10

Reorder the terms:
78 + 2y = 6y + -10

Reorder the terms:
78 + 2y = -10 + 6y

Solving
78 + 2y = -10 + 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.
78 + 2y + -6y = -10 + 6y + -6y

Combine like terms: 2y + -6y = -4y
78 + -4y = -10 + 6y + -6y

Combine like terms: 6y + -6y = 0
78 + -4y = -10 + 0
78 + -4y = -10

Add '-78' to each side of the equation.
78 + -78 + -4y = -10 + -78

Combine like terms: 78 + -78 = 0
0 + -4y = -10 + -78
-4y = -10 + -78

Combine like terms: -10 + -78 = -88
-4y = -88

Divide each side by '-4'.
y = 22

Simplifying
y = 22

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