y+10=7y-14

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Solution for y+10=7y-14 equation:


Simplifying
y + 10 = 7y + -14

Reorder the terms:
10 + y = 7y + -14

Reorder the terms:
10 + y = -14 + 7y

Solving
10 + y = -14 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
10 + y + -7y = -14 + 7y + -7y

Combine like terms: y + -7y = -6y
10 + -6y = -14 + 7y + -7y

Combine like terms: 7y + -7y = 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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