7y-2(2y-5)=22

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Solution for 7y-2(2y-5)=22 equation:


Simplifying
7y + -2(2y + -5) = 22

Reorder the terms:
7y + -2(-5 + 2y) = 22
7y + (-5 * -2 + 2y * -2) = 22
7y + (10 + -4y) = 22

Reorder the terms:
10 + 7y + -4y = 22

Combine like terms: 7y + -4y = 3y
10 + 3y = 22

Solving
10 + 3y = 22

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 22 + -10
3y = 22 + -10

Combine like terms: 22 + -10 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

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