3y+7=13y+2

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Solution for 3y+7=13y+2 equation:


Simplifying
3y + 7 = 13y + 2

Reorder the terms:
7 + 3y = 13y + 2

Reorder the terms:
7 + 3y = 2 + 13y

Solving
7 + 3y = 2 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
7 + 3y + -13y = 2 + 13y + -13y

Combine like terms: 3y + -13y = -10y
7 + -10y = 2 + 13y + -13y

Combine like terms: 13y + -13y = 0
7 + -10y = 2 + 0
7 + -10y = 2

Add '-7' to each side of the equation.
7 + -7 + -10y = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -10y = 2 + -7
-10y = 2 + -7

Combine like terms: 2 + -7 = -5
-10y = -5

Divide each side by '-10'.
y = 0.5

Simplifying
y = 0.5

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