2(y+3)=4(y+2)

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


Simplifying
2(y + 3) = 4(y + 2)

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

Reorder the terms:
6 + 2y = 4(2 + y)
6 + 2y = (2 * 4 + y * 4)
6 + 2y = (8 + 4y)

Solving
6 + 2y = 8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + 2y + -4y = 8 + 4y + -4y

Combine like terms: 2y + -4y = -2y
6 + -2y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -2y = 8 + 0
6 + -2y = 8

Add '-6' to each side of the equation.
6 + -6 + -2y = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 8 + -6
-2y = 8 + -6

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

Divide each side by '-2'.
y = -1

Simplifying
y = -1

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