7y-2=15y+30

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Solution for 7y-2=15y+30 equation:


Simplifying
7y + -2 = 15y + 30

Reorder the terms:
-2 + 7y = 15y + 30

Reorder the terms:
-2 + 7y = 30 + 15y

Solving
-2 + 7y = 30 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-2 + 7y + -15y = 30 + 15y + -15y

Combine like terms: 7y + -15y = -8y
-2 + -8y = 30 + 15y + -15y

Combine like terms: 15y + -15y = 0
-2 + -8y = 30 + 0
-2 + -8y = 30

Add '2' to each side of the equation.
-2 + 2 + -8y = 30 + 2

Combine like terms: -2 + 2 = 0
0 + -8y = 30 + 2
-8y = 30 + 2

Combine like terms: 30 + 2 = 32
-8y = 32

Divide each side by '-8'.
y = -4

Simplifying
y = -4

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