y-5=88-2(7y+9)

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Solution for y-5=88-2(7y+9) equation:


Simplifying
y + -5 = 88 + -2(7y + 9)

Reorder the terms:
-5 + y = 88 + -2(7y + 9)

Reorder the terms:
-5 + y = 88 + -2(9 + 7y)
-5 + y = 88 + (9 * -2 + 7y * -2)
-5 + y = 88 + (-18 + -14y)

Combine like terms: 88 + -18 = 70
-5 + y = 70 + -14y

Solving
-5 + y = 70 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
-5 + y + 14y = 70 + -14y + 14y

Combine like terms: y + 14y = 15y
-5 + 15y = 70 + -14y + 14y

Combine like terms: -14y + 14y = 0
-5 + 15y = 70 + 0
-5 + 15y = 70

Add '5' to each side of the equation.
-5 + 5 + 15y = 70 + 5

Combine like terms: -5 + 5 = 0
0 + 15y = 70 + 5
15y = 70 + 5

Combine like terms: 70 + 5 = 75
15y = 75

Divide each side by '15'.
y = 5

Simplifying
y = 5

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