-3y+10=5y-14

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


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

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

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

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

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

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

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

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

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

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

Simplifying
y = 3

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