7y-10=-5(y-6)

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Solution for 7y-10=-5(y-6) equation:


Simplifying
7y + -10 = -5(y + -6)

Reorder the terms:
-10 + 7y = -5(y + -6)

Reorder the terms:
-10 + 7y = -5(-6 + y)
-10 + 7y = (-6 * -5 + y * -5)
-10 + 7y = (30 + -5y)

Solving
-10 + 7y = 30 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-10 + 7y + 5y = 30 + -5y + 5y

Combine like terms: 7y + 5y = 12y
-10 + 12y = 30 + -5y + 5y

Combine like terms: -5y + 5y = 0
-10 + 12y = 30 + 0
-10 + 12y = 30

Add '10' to each side of the equation.
-10 + 10 + 12y = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 12y = 30 + 10
12y = 30 + 10

Combine like terms: 30 + 10 = 40
12y = 40

Divide each side by '12'.
y = 3.333333333

Simplifying
y = 3.333333333

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