5y-2=2(10+3y)

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Solution for 5y-2=2(10+3y) equation:


Simplifying
5y + -2 = 2(10 + 3y)

Reorder the terms:
-2 + 5y = 2(10 + 3y)
-2 + 5y = (10 * 2 + 3y * 2)
-2 + 5y = (20 + 6y)

Solving
-2 + 5y = 20 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-2 + 5y + -6y = 20 + 6y + -6y

Combine like terms: 5y + -6y = -1y
-2 + -1y = 20 + 6y + -6y

Combine like terms: 6y + -6y = 0
-2 + -1y = 20 + 0
-2 + -1y = 20

Add '2' to each side of the equation.
-2 + 2 + -1y = 20 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 20 + 2
-1y = 20 + 2

Combine like terms: 20 + 2 = 22
-1y = 22

Divide each side by '-1'.
y = -22

Simplifying
y = -22

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