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

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


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

Reorder the terms:
6(3 + 2y) = 2(4 + y)
(3 * 6 + 2y * 6) = 2(4 + y)
(18 + 12y) = 2(4 + y)
18 + 12y = (4 * 2 + y * 2)
18 + 12y = (8 + 2y)

Solving
18 + 12y = 8 + 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.
18 + 12y + -2y = 8 + 2y + -2y

Combine like terms: 12y + -2y = 10y
18 + 10y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
18 + 10y = 8 + 0
18 + 10y = 8

Add '-18' to each side of the equation.
18 + -18 + 10y = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 10y = 8 + -18
10y = 8 + -18

Combine like terms: 8 + -18 = -10
10y = -10

Divide each side by '10'.
y = -1

Simplifying
y = -1

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