-3y-14=5y+10

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Solution for -3y-14=5y+10 equation:


Simplifying
-3y + -14 = 5y + 10

Reorder the terms:
-14 + -3y = 5y + 10

Reorder the terms:
-14 + -3y = 10 + 5y

Solving
-14 + -3y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-14 + -3y + -5y = 10 + 5y + -5y

Combine like terms: -3y + -5y = -8y
-14 + -8y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-14 + -8y = 10 + 0
-14 + -8y = 10

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

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

Combine like terms: 10 + 14 = 24
-8y = 24

Divide each side by '-8'.
y = -3

Simplifying
y = -3

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