2(5-y)-5(y+3)=-26

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Solution for 2(5-y)-5(y+3)=-26 equation:


Simplifying
2(5 + -1y) + -5(y + 3) = -26
(5 * 2 + -1y * 2) + -5(y + 3) = -26
(10 + -2y) + -5(y + 3) = -26

Reorder the terms:
10 + -2y + -5(3 + y) = -26
10 + -2y + (3 * -5 + y * -5) = -26
10 + -2y + (-15 + -5y) = -26

Reorder the terms:
10 + -15 + -2y + -5y = -26

Combine like terms: 10 + -15 = -5
-5 + -2y + -5y = -26

Combine like terms: -2y + -5y = -7y
-5 + -7y = -26

Solving
-5 + -7y = -26

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + -7y = -26 + 5

Combine like terms: -5 + 5 = 0
0 + -7y = -26 + 5
-7y = -26 + 5

Combine like terms: -26 + 5 = -21
-7y = -21

Divide each side by '-7'.
y = 3

Simplifying
y = 3

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