2(2y+6)=3(4-2y)+10

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Solution for 2(2y+6)=3(4-2y)+10 equation: 


Simplifying
2(2y + 6) = 3(4 + -2y) + 10

Reorder the terms:
2(6 + 2y) = 3(4 + -2y) + 10
(6 * 2 + 2y * 2) = 3(4 + -2y) + 10
(12 + 4y) = 3(4 + -2y) + 10
12 + 4y = (4 * 3 + -2y * 3) + 10
12 + 4y = (12 + -6y) + 10

Reorder the terms:
12 + 4y = 12 + 10 + -6y

Combine like terms: 12 + 10 = 22
12 + 4y = 22 + -6y

Solving
12 + 4y = 22 + -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.
12 + 4y + 6y = 22 + -6y + 6y

Combine like terms: 4y + 6y = 10y
12 + 10y = 22 + -6y + 6y

Combine like terms: -6y + 6y = 0
12 + 10y = 22 + 0
12 + 10y = 22

Add '-12' to each side of the equation.
12 + -12 + 10y = 22 + -12

Combine like terms: 12 + -12 = 0
0 + 10y = 22 + -12
10y = 22 + -12

Combine like terms: 22 + -12 = 10
10y = 10

Divide each side by '10'.
y = 1

Simplifying
y = 1

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