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

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


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

Reorder the terms:
-5 = 7(-3 + y) + -3y
-5 = (-3 * 7 + y * 7) + -3y
-5 = (-21 + 7y) + -3y

Combine like terms: 7y + -3y = 4y
-5 = -21 + 4y

Solving
-5 = -21 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-5 + -4y = -21 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + -4y = -21 + 0
-5 + -4y = -21

Add '5' to each side of the equation.
-5 + 5 + -4y = -21 + 5

Combine like terms: -5 + 5 = 0
0 + -4y = -21 + 5
-4y = -21 + 5

Combine like terms: -21 + 5 = -16
-4y = -16

Divide each side by '-4'.
y = 4

Simplifying
y = 4

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