7y-15=35(y+4)

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Solution for 7y-15=35(y+4) equation:


Simplifying
7y + -15 = 35(y + 4)

Reorder the terms:
-15 + 7y = 35(y + 4)

Reorder the terms:
-15 + 7y = 35(4 + y)
-15 + 7y = (4 * 35 + y * 35)
-15 + 7y = (140 + 35y)

Solving
-15 + 7y = 140 + 35y

Solving for variable 'y'.

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

Add '-35y' to each side of the equation.
-15 + 7y + -35y = 140 + 35y + -35y

Combine like terms: 7y + -35y = -28y
-15 + -28y = 140 + 35y + -35y

Combine like terms: 35y + -35y = 0
-15 + -28y = 140 + 0
-15 + -28y = 140

Add '15' to each side of the equation.
-15 + 15 + -28y = 140 + 15

Combine like terms: -15 + 15 = 0
0 + -28y = 140 + 15
-28y = 140 + 15

Combine like terms: 140 + 15 = 155
-28y = 155

Divide each side by '-28'.
y = -5.535714286

Simplifying
y = -5.535714286

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