30+(7y-1)=3(2y+7)

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Solution for 30+(7y-1)=3(2y+7) equation:


Simplifying
30 + (7y + -1) = 3(2y + 7)

Reorder the terms:
30 + (-1 + 7y) = 3(2y + 7)

Remove parenthesis around (-1 + 7y)
30 + -1 + 7y = 3(2y + 7)

Combine like terms: 30 + -1 = 29
29 + 7y = 3(2y + 7)

Reorder the terms:
29 + 7y = 3(7 + 2y)
29 + 7y = (7 * 3 + 2y * 3)
29 + 7y = (21 + 6y)

Solving
29 + 7y = 21 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
29 + 7y + -6y = 21 + 6y + -6y

Combine like terms: 7y + -6y = 1y
29 + 1y = 21 + 6y + -6y

Combine like terms: 6y + -6y = 0
29 + 1y = 21 + 0
29 + 1y = 21

Add '-29' to each side of the equation.
29 + -29 + 1y = 21 + -29

Combine like terms: 29 + -29 = 0
0 + 1y = 21 + -29
1y = 21 + -29

Combine like terms: 21 + -29 = -8
1y = -8

Divide each side by '1'.
y = -8

Simplifying
y = -8

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