7y=30-2(2y+4)

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Solution for 7y=30-2(2y+4) equation:


Simplifying
7y = 30 + -2(2y + 4)

Reorder the terms:
7y = 30 + -2(4 + 2y)
7y = 30 + (4 * -2 + 2y * -2)
7y = 30 + (-8 + -4y)

Combine like terms: 30 + -8 = 22
7y = 22 + -4y

Solving
7y = 22 + -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.
7y + 4y = 22 + -4y + 4y

Combine like terms: 7y + 4y = 11y
11y = 22 + -4y + 4y

Combine like terms: -4y + 4y = 0
11y = 22 + 0
11y = 22

Divide each side by '11'.
y = 2

Simplifying
y = 2

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