5(y+4)=7y-26

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Solution for 5(y+4)=7y-26 equation:


Simplifying
5(y + 4) = 7y + -26

Reorder the terms:
5(4 + y) = 7y + -26
(4 * 5 + y * 5) = 7y + -26
(20 + 5y) = 7y + -26

Reorder the terms:
20 + 5y = -26 + 7y

Solving
20 + 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.
20 + 5y + -7y = -26 + 7y + -7y

Combine like terms: 5y + -7y = -2y
20 + -2y = -26 + 7y + -7y

Combine like terms: 7y + -7y = 0
20 + -2y = -26 + 0
20 + -2y = -26

Add '-20' to each side of the equation.
20 + -20 + -2y = -26 + -20

Combine like terms: 20 + -20 = 0
0 + -2y = -26 + -20
-2y = -26 + -20

Combine like terms: -26 + -20 = -46
-2y = -46

Divide each side by '-2'.
y = 23

Simplifying
y = 23

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