9y-(6y+19)=6-(3y-4)

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Solution for 9y-(6y+19)=6-(3y-4) equation:


Simplifying
9y + -1(6y + 19) = 6 + -1(3y + -4)

Reorder the terms:
9y + -1(19 + 6y) = 6 + -1(3y + -4)
9y + (19 * -1 + 6y * -1) = 6 + -1(3y + -4)
9y + (-19 + -6y) = 6 + -1(3y + -4)

Reorder the terms:
-19 + 9y + -6y = 6 + -1(3y + -4)

Combine like terms: 9y + -6y = 3y
-19 + 3y = 6 + -1(3y + -4)

Reorder the terms:
-19 + 3y = 6 + -1(-4 + 3y)
-19 + 3y = 6 + (-4 * -1 + 3y * -1)
-19 + 3y = 6 + (4 + -3y)

Combine like terms: 6 + 4 = 10
-19 + 3y = 10 + -3y

Solving
-19 + 3y = 10 + -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.
-19 + 3y + 3y = 10 + -3y + 3y

Combine like terms: 3y + 3y = 6y
-19 + 6y = 10 + -3y + 3y

Combine like terms: -3y + 3y = 0
-19 + 6y = 10 + 0
-19 + 6y = 10

Add '19' to each side of the equation.
-19 + 19 + 6y = 10 + 19

Combine like terms: -19 + 19 = 0
0 + 6y = 10 + 19
6y = 10 + 19

Combine like terms: 10 + 19 = 29
6y = 29

Divide each side by '6'.
y = 4.833333333

Simplifying
y = 4.833333333

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