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

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


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

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

Reorder the terms:
-21 + 7y = 7 + y + -3y

Combine like terms: y + -3y = -2y
-21 + 7y = 7 + -2y

Solving
-21 + 7y = 7 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-21 + 7y + 2y = 7 + -2y + 2y

Combine like terms: 7y + 2y = 9y
-21 + 9y = 7 + -2y + 2y

Combine like terms: -2y + 2y = 0
-21 + 9y = 7 + 0
-21 + 9y = 7

Add '21' to each side of the equation.
-21 + 21 + 9y = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 9y = 7 + 21
9y = 7 + 21

Combine like terms: 7 + 21 = 28
9y = 28

Divide each side by '9'.
y = 3.111111111

Simplifying
y = 3.111111111

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