2y+10=5y-4

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Solution for 2y+10=5y-4 equation: 


Simplifying
2y + 10 = 5y + -4

Reorder the terms:
10 + 2y = 5y + -4

Reorder the terms:
10 + 2y = -4 + 5y

Solving
10 + 2y = -4 + 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 + 2y + -5y = -4 + 5y + -5y

Combine like terms: 2y + -5y = -3y
10 + -3y = -4 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -3y = -4 + 0
10 + -3y = -4

Add '-10' to each side of the equation.
10 + -10 + -3y = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = -4 + -10
-3y = -4 + -10

Combine like terms: -4 + -10 = -14
-3y = -14

Divide each side by '-3'.
y = 4.666666667

Simplifying
y = 4.666666667

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