2y+10=5y+16

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Solution for 2y+10=5y+16 equation:


Simplifying
2y + 10 = 5y + 16

Reorder the terms:
10 + 2y = 5y + 16

Reorder the terms:
10 + 2y = 16 + 5y

Solving
10 + 2y = 16 + 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 = 16 + 5y + -5y

Combine like terms: 2y + -5y = -3y
10 + -3y = 16 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -3y = 16 + 0
10 + -3y = 16

Add '-10' to each side of the equation.
10 + -10 + -3y = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = 16 + -10
-3y = 16 + -10

Combine like terms: 16 + -10 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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