(2y+5)-(9y+27)=-6(6)

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Solution for (2y+5)-(9y+27)=-6(6) equation:


Simplifying
(2y + 5) + -1(9y + 27) = -6(6)

Reorder the terms:
(5 + 2y) + -1(9y + 27) = -6(6)

Remove parenthesis around (5 + 2y)
5 + 2y + -1(9y + 27) = -6(6)

Reorder the terms:
5 + 2y + -1(27 + 9y) = -6(6)
5 + 2y + (27 * -1 + 9y * -1) = -6(6)
5 + 2y + (-27 + -9y) = -6(6)

Reorder the terms:
5 + -27 + 2y + -9y = -6(6)

Combine like terms: 5 + -27 = -22
-22 + 2y + -9y = -6(6)

Combine like terms: 2y + -9y = -7y
-22 + -7y = -6(6)

Multiply -6 * 6
-22 + -7y = -36

Solving
-22 + -7y = -36

Solving for variable 'y'.

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

Add '22' to each side of the equation.
-22 + 22 + -7y = -36 + 22

Combine like terms: -22 + 22 = 0
0 + -7y = -36 + 22
-7y = -36 + 22

Combine like terms: -36 + 22 = -14
-7y = -14

Divide each side by '-7'.
y = 2

Simplifying
y = 2

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