22=5(2y+3)-3y

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Solution for 22=5(2y+3)-3y equation:


Simplifying
22 = 5(2y + 3) + -3y

Reorder the terms:
22 = 5(3 + 2y) + -3y
22 = (3 * 5 + 2y * 5) + -3y
22 = (15 + 10y) + -3y

Combine like terms: 10y + -3y = 7y
22 = 15 + 7y

Solving
22 = 15 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
22 + -7y = 15 + 7y + -7y

Combine like terms: 7y + -7y = 0
22 + -7y = 15 + 0
22 + -7y = 15

Add '-22' to each side of the equation.
22 + -22 + -7y = 15 + -22

Combine like terms: 22 + -22 = 0
0 + -7y = 15 + -22
-7y = 15 + -22

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

Divide each side by '-7'.
y = 1

Simplifying
y = 1

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