4(y-6)+3y=-38

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Solution for 4(y-6)+3y=-38 equation:


Simplifying
4(y + -6) + 3y = -38

Reorder the terms:
4(-6 + y) + 3y = -38
(-6 * 4 + y * 4) + 3y = -38
(-24 + 4y) + 3y = -38

Combine like terms: 4y + 3y = 7y
-24 + 7y = -38

Solving
-24 + 7y = -38

Solving for variable 'y'.

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

Add '24' to each side of the equation.
-24 + 24 + 7y = -38 + 24

Combine like terms: -24 + 24 = 0
0 + 7y = -38 + 24
7y = -38 + 24

Combine like terms: -38 + 24 = -14
7y = -14

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

Simplifying
y = -2

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