4[2y+1]=2[12-y]

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Solution for 4[2y+1]=2[12-y] equation:


Simplifying
4[2y + 1] = 2[12 + -1y]

Reorder the terms:
4[1 + 2y] = 2[12 + -1y]
[1 * 4 + 2y * 4] = 2[12 + -1y]
[4 + 8y] = 2[12 + -1y]
4 + 8y = [12 * 2 + -1y * 2]
4 + 8y = [24 + -2y]

Solving
4 + 8y = 24 + -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.
4 + 8y + 2y = 24 + -2y + 2y

Combine like terms: 8y + 2y = 10y
4 + 10y = 24 + -2y + 2y

Combine like terms: -2y + 2y = 0
4 + 10y = 24 + 0
4 + 10y = 24

Add '-4' to each side of the equation.
4 + -4 + 10y = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 10y = 24 + -4
10y = 24 + -4

Combine like terms: 24 + -4 = 20
10y = 20

Divide each side by '10'.
y = 2

Simplifying
y = 2

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