3y-5(y+6)=4

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Solution for 3y-5(y+6)=4 equation:


Simplifying
3y + -5(y + 6) = 4

Reorder the terms:
3y + -5(6 + y) = 4
3y + (6 * -5 + y * -5) = 4
3y + (-30 + -5y) = 4

Reorder the terms:
-30 + 3y + -5y = 4

Combine like terms: 3y + -5y = -2y
-30 + -2y = 4

Solving
-30 + -2y = 4

Solving for variable 'y'.

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

Add '30' to each side of the equation.
-30 + 30 + -2y = 4 + 30

Combine like terms: -30 + 30 = 0
0 + -2y = 4 + 30
-2y = 4 + 30

Combine like terms: 4 + 30 = 34
-2y = 34

Divide each side by '-2'.
y = -17

Simplifying
y = -17

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