6(y+7)-10(y+2)=-10

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Solution for 6(y+7)-10(y+2)=-10 equation: 


Simplifying
6(y + 7) + -10(y + 2) = -10

Reorder the terms:
6(7 + y) + -10(y + 2) = -10
(7 * 6 + y * 6) + -10(y + 2) = -10
(42 + 6y) + -10(y + 2) = -10

Reorder the terms:
42 + 6y + -10(2 + y) = -10
42 + 6y + (2 * -10 + y * -10) = -10
42 + 6y + (-20 + -10y) = -10

Reorder the terms:
42 + -20 + 6y + -10y = -10

Combine like terms: 42 + -20 = 22
22 + 6y + -10y = -10

Combine like terms: 6y + -10y = -4y
22 + -4y = -10

Solving
22 + -4y = -10

Solving for variable 'y'.

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

Add '-22' to each side of the equation.
22 + -22 + -4y = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -4y = -10 + -22
-4y = -10 + -22

Combine like terms: -10 + -22 = -32
-4y = -32

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

Simplifying
y = 8

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