-3(y+6)-4(2y-1)-7y=42

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Solution for -3(y+6)-4(2y-1)-7y=42 equation: 


Simplifying
-3(y + 6) + -4(2y + -1) + -7y = 42

Reorder the terms:
-3(6 + y) + -4(2y + -1) + -7y = 42
(6 * -3 + y * -3) + -4(2y + -1) + -7y = 42
(-18 + -3y) + -4(2y + -1) + -7y = 42

Reorder the terms:
-18 + -3y + -4(-1 + 2y) + -7y = 42
-18 + -3y + (-1 * -4 + 2y * -4) + -7y = 42
-18 + -3y + (4 + -8y) + -7y = 42

Reorder the terms:
-18 + 4 + -3y + -8y + -7y = 42

Combine like terms: -18 + 4 = -14
-14 + -3y + -8y + -7y = 42

Combine like terms: -3y + -8y = -11y
-14 + -11y + -7y = 42

Combine like terms: -11y + -7y = -18y
-14 + -18y = 42

Solving
-14 + -18y = 42

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + -18y = 42 + 14

Combine like terms: -14 + 14 = 0
0 + -18y = 42 + 14
-18y = 42 + 14

Combine like terms: 42 + 14 = 56
-18y = 56

Divide each side by '-18'.
y = -3.111111111

Simplifying
y = -3.111111111

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