7(y-3)=4-(3y+5)

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Solution for 7(y-3)=4-(3y+5) equation:


Simplifying
7(y + -3) = 4 + -1(3y + 5)

Reorder the terms:
7(-3 + y) = 4 + -1(3y + 5)
(-3 * 7 + y * 7) = 4 + -1(3y + 5)
(-21 + 7y) = 4 + -1(3y + 5)

Reorder the terms:
-21 + 7y = 4 + -1(5 + 3y)
-21 + 7y = 4 + (5 * -1 + 3y * -1)
-21 + 7y = 4 + (-5 + -3y)

Combine like terms: 4 + -5 = -1
-21 + 7y = -1 + -3y

Solving
-21 + 7y = -1 + -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.
-21 + 7y + 3y = -1 + -3y + 3y

Combine like terms: 7y + 3y = 10y
-21 + 10y = -1 + -3y + 3y

Combine like terms: -3y + 3y = 0
-21 + 10y = -1 + 0
-21 + 10y = -1

Add '21' to each side of the equation.
-21 + 21 + 10y = -1 + 21

Combine like terms: -21 + 21 = 0
0 + 10y = -1 + 21
10y = -1 + 21

Combine like terms: -1 + 21 = 20
10y = 20

Divide each side by '10'.
y = 2

Simplifying
y = 2

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