30=-8y+6(y+7)

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Solution for 30=-8y+6(y+7) equation:


Simplifying
30 = -8y + 6(y + 7)

Reorder the terms:
30 = -8y + 6(7 + y)
30 = -8y + (7 * 6 + y * 6)
30 = -8y + (42 + 6y)

Reorder the terms:
30 = 42 + -8y + 6y

Combine like terms: -8y + 6y = -2y
30 = 42 + -2y

Solving
30 = 42 + -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.
30 + 2y = 42 + -2y + 2y

Combine like terms: -2y + 2y = 0
30 + 2y = 42 + 0
30 + 2y = 42

Add '-30' to each side of the equation.
30 + -30 + 2y = 42 + -30

Combine like terms: 30 + -30 = 0
0 + 2y = 42 + -30
2y = 42 + -30

Combine like terms: 42 + -30 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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