5(8y-3)-(7y+7)=25y

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Solution for 5(8y-3)-(7y+7)=25y equation:


Simplifying
5(8y + -3) + -1(7y + 7) = 25y

Reorder the terms:
5(-3 + 8y) + -1(7y + 7) = 25y
(-3 * 5 + 8y * 5) + -1(7y + 7) = 25y
(-15 + 40y) + -1(7y + 7) = 25y

Reorder the terms:
-15 + 40y + -1(7 + 7y) = 25y
-15 + 40y + (7 * -1 + 7y * -1) = 25y
-15 + 40y + (-7 + -7y) = 25y

Reorder the terms:
-15 + -7 + 40y + -7y = 25y

Combine like terms: -15 + -7 = -22
-22 + 40y + -7y = 25y

Combine like terms: 40y + -7y = 33y
-22 + 33y = 25y

Solving
-22 + 33y = 25y

Solving for variable 'y'.

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

Add '-25y' to each side of the equation.
-22 + 33y + -25y = 25y + -25y

Combine like terms: 33y + -25y = 8y
-22 + 8y = 25y + -25y

Combine like terms: 25y + -25y = 0
-22 + 8y = 0

Add '22' to each side of the equation.
-22 + 22 + 8y = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 8y = 0 + 22
8y = 0 + 22

Combine like terms: 0 + 22 = 22
8y = 22

Divide each side by '8'.
y = 2.75

Simplifying
y = 2.75

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