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

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


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

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

Reorder the terms:
20 + 10y = 2 + 3y

Solving
20 + 10y = 2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
20 + 10y + -3y = 2 + 3y + -3y

Combine like terms: 10y + -3y = 7y
20 + 7y = 2 + 3y + -3y

Combine like terms: 3y + -3y = 0
20 + 7y = 2 + 0
20 + 7y = 2

Add '-20' to each side of the equation.
20 + -20 + 7y = 2 + -20

Combine like terms: 20 + -20 = 0
0 + 7y = 2 + -20
7y = 2 + -20

Combine like terms: 2 + -20 = -18
7y = -18

Divide each side by '7'.
y = -2.571428571

Simplifying
y = -2.571428571

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