2(3y-5)=-2y+30

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Solution for 2(3y-5)=-2y+30 equation:


Simplifying
2(3y + -5) = -2y + 30

Reorder the terms:
2(-5 + 3y) = -2y + 30
(-5 * 2 + 3y * 2) = -2y + 30
(-10 + 6y) = -2y + 30

Reorder the terms:
-10 + 6y = 30 + -2y

Solving
-10 + 6y = 30 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-10 + 6y + 2y = 30 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-10 + 8y = 30 + -2y + 2y

Combine like terms: -2y + 2y = 0
-10 + 8y = 30 + 0
-10 + 8y = 30

Add '10' to each side of the equation.
-10 + 10 + 8y = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 8y = 30 + 10
8y = 30 + 10

Combine like terms: 30 + 10 = 40
8y = 40

Divide each side by '8'.
y = 5

Simplifying
y = 5

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