(10y)+(1*100)=((y+1)*70)

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Solution for (10y)+(1*100)=((y+1)*70) equation:


Simplifying
(10y) + (1 * 100) = ((y + 1) * 70)

Multiply 1 * 100
(10y) + (100) = ((y + 1) * 70)
(10y) + 100 = ((y + 1) * 70)

Reorder the terms:
100 + (10y) = ((y + 1) * 70)

Reorder the terms:
100 + (10y) = ((1 + y) * 70)

Reorder the terms for easier multiplication:
100 + (10y) = (70(1 + y))
100 + (10y) = ((1 * 70 + y * 70))
100 + (10y) = ((70 + 70y))
100 + (10y) = (70 + 70y)

Remove parenthesis around (70 + 70y)
100 + (10y) = 70 + 70y

Solving
100 + (10y) = 70 + 70y

Solving for variable 'y'.

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

Add '-70y' to each side of the equation.
100 + (10y) + -70y = 70 + 70y + -70y

Combine like terms: (10y) + -70y = -60y
100 + -60y = 70 + 70y + -70y

Combine like terms: 70y + -70y = 0
100 + -60y = 70 + 0
100 + -60y = 70

Add '-100' to each side of the equation.
100 + -100 + -60y = 70 + -100

Combine like terms: 100 + -100 = 0
0 + -60y = 70 + -100
-60y = 70 + -100

Combine like terms: 70 + -100 = -30
-60y = -30

Divide each side by '-60'.
y = 0.5

Simplifying
y = 0.5

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