8y-(6y+19)=3-(2y-5)

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Solution for 8y-(6y+19)=3-(2y-5) equation:


Simplifying
8y + -1(6y + 19) = 3 + -1(2y + -5)

Reorder the terms:
8y + -1(19 + 6y) = 3 + -1(2y + -5)
8y + (19 * -1 + 6y * -1) = 3 + -1(2y + -5)
8y + (-19 + -6y) = 3 + -1(2y + -5)

Reorder the terms:
-19 + 8y + -6y = 3 + -1(2y + -5)

Combine like terms: 8y + -6y = 2y
-19 + 2y = 3 + -1(2y + -5)

Reorder the terms:
-19 + 2y = 3 + -1(-5 + 2y)
-19 + 2y = 3 + (-5 * -1 + 2y * -1)
-19 + 2y = 3 + (5 + -2y)

Combine like terms: 3 + 5 = 8
-19 + 2y = 8 + -2y

Solving
-19 + 2y = 8 + -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.
-19 + 2y + 2y = 8 + -2y + 2y

Combine like terms: 2y + 2y = 4y
-19 + 4y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
-19 + 4y = 8 + 0
-19 + 4y = 8

Add '19' to each side of the equation.
-19 + 19 + 4y = 8 + 19

Combine like terms: -19 + 19 = 0
0 + 4y = 8 + 19
4y = 8 + 19

Combine like terms: 8 + 19 = 27
4y = 27

Divide each side by '4'.
y = 6.75

Simplifying
y = 6.75

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