-2(5y-6)+3(y+9)=-38

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Solution for -2(5y-6)+3(y+9)=-38 equation:


Simplifying
-2(5y + -6) + 3(y + 9) = -38

Reorder the terms:
-2(-6 + 5y) + 3(y + 9) = -38
(-6 * -2 + 5y * -2) + 3(y + 9) = -38
(12 + -10y) + 3(y + 9) = -38

Reorder the terms:
12 + -10y + 3(9 + y) = -38
12 + -10y + (9 * 3 + y * 3) = -38
12 + -10y + (27 + 3y) = -38

Reorder the terms:
12 + 27 + -10y + 3y = -38

Combine like terms: 12 + 27 = 39
39 + -10y + 3y = -38

Combine like terms: -10y + 3y = -7y
39 + -7y = -38

Solving
39 + -7y = -38

Solving for variable 'y'.

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

Add '-39' to each side of the equation.
39 + -39 + -7y = -38 + -39

Combine like terms: 39 + -39 = 0
0 + -7y = -38 + -39
-7y = -38 + -39

Combine like terms: -38 + -39 = -77
-7y = -77

Divide each side by '-7'.
y = 11

Simplifying
y = 11

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