4(y-3)-6y=42

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Solution for 4(y-3)-6y=42 equation:


Simplifying
4(y + -3) + -6y = 42

Reorder the terms:
4(-3 + y) + -6y = 42
(-3 * 4 + y * 4) + -6y = 42
(-12 + 4y) + -6y = 42

Combine like terms: 4y + -6y = -2y
-12 + -2y = 42

Solving
-12 + -2y = 42

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + -2y = 42 + 12

Combine like terms: -12 + 12 = 0
0 + -2y = 42 + 12
-2y = 42 + 12

Combine like terms: 42 + 12 = 54
-2y = 54

Divide each side by '-2'.
y = -27

Simplifying
y = -27

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