5(3y-3)-7=2(4y-5)+16

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Solution for 5(3y-3)-7=2(4y-5)+16 equation:


Simplifying
5(3y + -3) + -7 = 2(4y + -5) + 16

Reorder the terms:
5(-3 + 3y) + -7 = 2(4y + -5) + 16
(-3 * 5 + 3y * 5) + -7 = 2(4y + -5) + 16
(-15 + 15y) + -7 = 2(4y + -5) + 16

Reorder the terms:
-15 + -7 + 15y = 2(4y + -5) + 16

Combine like terms: -15 + -7 = -22
-22 + 15y = 2(4y + -5) + 16

Reorder the terms:
-22 + 15y = 2(-5 + 4y) + 16
-22 + 15y = (-5 * 2 + 4y * 2) + 16
-22 + 15y = (-10 + 8y) + 16

Reorder the terms:
-22 + 15y = -10 + 16 + 8y

Combine like terms: -10 + 16 = 6
-22 + 15y = 6 + 8y

Solving
-22 + 15y = 6 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-22 + 15y + -8y = 6 + 8y + -8y

Combine like terms: 15y + -8y = 7y
-22 + 7y = 6 + 8y + -8y

Combine like terms: 8y + -8y = 0
-22 + 7y = 6 + 0
-22 + 7y = 6

Add '22' to each side of the equation.
-22 + 22 + 7y = 6 + 22

Combine like terms: -22 + 22 = 0
0 + 7y = 6 + 22
7y = 6 + 22

Combine like terms: 6 + 22 = 28
7y = 28

Divide each side by '7'.
y = 4

Simplifying
y = 4

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