22-2(4-y)=(7-3y)

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Solution for 22-2(4-y)=(7-3y) equation:


Simplifying
22 + -2(4 + -1y) = (7 + -3y)
22 + (4 * -2 + -1y * -2) = (7 + -3y)
22 + (-8 + 2y) = (7 + -3y)

Combine like terms: 22 + -8 = 14
14 + 2y = (7 + -3y)

Remove parenthesis around (7 + -3y)
14 + 2y = 7 + -3y

Solving
14 + 2y = 7 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
14 + 2y + 3y = 7 + -3y + 3y

Combine like terms: 2y + 3y = 5y
14 + 5y = 7 + -3y + 3y

Combine like terms: -3y + 3y = 0
14 + 5y = 7 + 0
14 + 5y = 7

Add '-14' to each side of the equation.
14 + -14 + 5y = 7 + -14

Combine like terms: 14 + -14 = 0
0 + 5y = 7 + -14
5y = 7 + -14

Combine like terms: 7 + -14 = -7
5y = -7

Divide each side by '5'.
y = -1.4

Simplifying
y = -1.4

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