(5y+20)-(6y-2)=26

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Solution for (5y+20)-(6y-2)=26 equation:


Simplifying
(5y + 20) + -1(6y + -2) = 26

Reorder the terms:
(20 + 5y) + -1(6y + -2) = 26

Remove parenthesis around (20 + 5y)
20 + 5y + -1(6y + -2) = 26

Reorder the terms:
20 + 5y + -1(-2 + 6y) = 26
20 + 5y + (-2 * -1 + 6y * -1) = 26
20 + 5y + (2 + -6y) = 26

Reorder the terms:
20 + 2 + 5y + -6y = 26

Combine like terms: 20 + 2 = 22
22 + 5y + -6y = 26

Combine like terms: 5y + -6y = -1y
22 + -1y = 26

Solving
22 + -1y = 26

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 + -1y = 26 + -22

Combine like terms: 22 + -22 = 0
0 + -1y = 26 + -22
-1y = 26 + -22

Combine like terms: 26 + -22 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

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