5(y+5)-8y=31

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Solution for 5(y+5)-8y=31 equation:


Simplifying
5(y + 5) + -8y = 31

Reorder the terms:
5(5 + y) + -8y = 31
(5 * 5 + y * 5) + -8y = 31
(25 + 5y) + -8y = 31

Combine like terms: 5y + -8y = -3y
25 + -3y = 31

Solving
25 + -3y = 31

Solving for variable 'y'.

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

Add '-25' to each side of the equation.
25 + -25 + -3y = 31 + -25

Combine like terms: 25 + -25 = 0
0 + -3y = 31 + -25
-3y = 31 + -25

Combine like terms: 31 + -25 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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