30=2y+2(y+7)

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Solution for 30=2y+2(y+7) equation:


Simplifying
30 = 2y + 2(y + 7)

Reorder the terms:
30 = 2y + 2(7 + y)
30 = 2y + (7 * 2 + y * 2)
30 = 2y + (14 + 2y)

Reorder the terms:
30 = 14 + 2y + 2y

Combine like terms: 2y + 2y = 4y
30 = 14 + 4y

Solving
30 = 14 + 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.
30 + -4y = 14 + 4y + -4y

Combine like terms: 4y + -4y = 0
30 + -4y = 14 + 0
30 + -4y = 14

Add '-30' to each side of the equation.
30 + -30 + -4y = 14 + -30

Combine like terms: 30 + -30 = 0
0 + -4y = 14 + -30
-4y = 14 + -30

Combine like terms: 14 + -30 = -16
-4y = -16

Divide each side by '-4'.
y = 4

Simplifying
y = 4

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