5(3y-11)+2y=-4

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Solution for 5(3y-11)+2y=-4 equation:


Simplifying
5(3y + -11) + 2y = -4

Reorder the terms:
5(-11 + 3y) + 2y = -4
(-11 * 5 + 3y * 5) + 2y = -4
(-55 + 15y) + 2y = -4

Combine like terms: 15y + 2y = 17y
-55 + 17y = -4

Solving
-55 + 17y = -4

Solving for variable 'y'.

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

Add '55' to each side of the equation.
-55 + 55 + 17y = -4 + 55

Combine like terms: -55 + 55 = 0
0 + 17y = -4 + 55
17y = -4 + 55

Combine like terms: -4 + 55 = 51
17y = 51

Divide each side by '17'.
y = 3

Simplifying
y = 3

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