-5(y+2)=-6(y-7)

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Solution for -5(y+2)=-6(y-7) equation:


Simplifying
-5(y + 2) = -6(y + -7)

Reorder the terms:
-5(2 + y) = -6(y + -7)
(2 * -5 + y * -5) = -6(y + -7)
(-10 + -5y) = -6(y + -7)

Reorder the terms:
-10 + -5y = -6(-7 + y)
-10 + -5y = (-7 * -6 + y * -6)
-10 + -5y = (42 + -6y)

Solving
-10 + -5y = 42 + -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.
-10 + -5y + 6y = 42 + -6y + 6y

Combine like terms: -5y + 6y = 1y
-10 + 1y = 42 + -6y + 6y

Combine like terms: -6y + 6y = 0
-10 + 1y = 42 + 0
-10 + 1y = 42

Add '10' to each side of the equation.
-10 + 10 + 1y = 42 + 10

Combine like terms: -10 + 10 = 0
0 + 1y = 42 + 10
1y = 42 + 10

Combine like terms: 42 + 10 = 52
1y = 52

Divide each side by '1'.
y = 52

Simplifying
y = 52

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