2y+10=8y-14

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Solution for 2y+10=8y-14 equation:


Simplifying
2y + 10 = 8y + -14

Reorder the terms:
10 + 2y = 8y + -14

Reorder the terms:
10 + 2y = -14 + 8y

Solving
10 + 2y = -14 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
10 + 2y + -8y = -14 + 8y + -8y

Combine like terms: 2y + -8y = -6y
10 + -6y = -14 + 8y + -8y

Combine like terms: 8y + -8y = 0
10 + -6y = -14 + 0
10 + -6y = -14

Add '-10' to each side of the equation.
10 + -10 + -6y = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -6y = -14 + -10
-6y = -14 + -10

Combine like terms: -14 + -10 = -24
-6y = -24

Divide each side by '-6'.
y = 4

Simplifying
y = 4

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