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

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


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

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

Combine like terms: 4y + y = 5y
2 + 5y = 2(2y + 3)

Reorder the terms:
2 + 5y = 2(3 + 2y)
2 + 5y = (3 * 2 + 2y * 2)
2 + 5y = (6 + 4y)

Solving
2 + 5y = 6 + 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.
2 + 5y + -4y = 6 + 4y + -4y

Combine like terms: 5y + -4y = 1y
2 + 1y = 6 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + 1y = 6 + 0
2 + 1y = 6

Add '-2' to each side of the equation.
2 + -2 + 1y = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 6 + -2
1y = 6 + -2

Combine like terms: 6 + -2 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4

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