7(3y-5)=-22(3-y)

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Solution for 7(3y-5)=-22(3-y) equation:


Simplifying
7(3y + -5) = -22(3 + -1y)

Reorder the terms:
7(-5 + 3y) = -22(3 + -1y)
(-5 * 7 + 3y * 7) = -22(3 + -1y)
(-35 + 21y) = -22(3 + -1y)
-35 + 21y = (3 * -22 + -1y * -22)
-35 + 21y = (-66 + 22y)

Solving
-35 + 21y = -66 + 22y

Solving for variable 'y'.

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

Add '-22y' to each side of the equation.
-35 + 21y + -22y = -66 + 22y + -22y

Combine like terms: 21y + -22y = -1y
-35 + -1y = -66 + 22y + -22y

Combine like terms: 22y + -22y = 0
-35 + -1y = -66 + 0
-35 + -1y = -66

Add '35' to each side of the equation.
-35 + 35 + -1y = -66 + 35

Combine like terms: -35 + 35 = 0
0 + -1y = -66 + 35
-1y = -66 + 35

Combine like terms: -66 + 35 = -31
-1y = -31

Divide each side by '-1'.
y = 31

Simplifying
y = 31

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