5(2y-5)+2=2y+33

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Solution for 5(2y-5)+2=2y+33 equation:


Simplifying
5(2y + -5) + 2 = 2y + 33

Reorder the terms:
5(-5 + 2y) + 2 = 2y + 33
(-5 * 5 + 2y * 5) + 2 = 2y + 33
(-25 + 10y) + 2 = 2y + 33

Reorder the terms:
-25 + 2 + 10y = 2y + 33

Combine like terms: -25 + 2 = -23
-23 + 10y = 2y + 33

Reorder the terms:
-23 + 10y = 33 + 2y

Solving
-23 + 10y = 33 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-23 + 10y + -2y = 33 + 2y + -2y

Combine like terms: 10y + -2y = 8y
-23 + 8y = 33 + 2y + -2y

Combine like terms: 2y + -2y = 0
-23 + 8y = 33 + 0
-23 + 8y = 33

Add '23' to each side of the equation.
-23 + 23 + 8y = 33 + 23

Combine like terms: -23 + 23 = 0
0 + 8y = 33 + 23
8y = 33 + 23

Combine like terms: 33 + 23 = 56
8y = 56

Divide each side by '8'.
y = 7

Simplifying
y = 7

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