5(2-y)=7y-26

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Solution for 5(2-y)=7y-26 equation:


Simplifying
5(2 + -1y) = 7y + -26
(2 * 5 + -1y * 5) = 7y + -26
(10 + -5y) = 7y + -26

Reorder the terms:
10 + -5y = -26 + 7y

Solving
10 + -5y = -26 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
10 + -5y + -7y = -26 + 7y + -7y

Combine like terms: -5y + -7y = -12y
10 + -12y = -26 + 7y + -7y

Combine like terms: 7y + -7y = 0
10 + -12y = -26 + 0
10 + -12y = -26

Add '-10' to each side of the equation.
10 + -10 + -12y = -26 + -10

Combine like terms: 10 + -10 = 0
0 + -12y = -26 + -10
-12y = -26 + -10

Combine like terms: -26 + -10 = -36
-12y = -36

Divide each side by '-12'.
y = 3

Simplifying
y = 3

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