-5(3y-10)-y=4(y-4)

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Solution for -5(3y-10)-y=4(y-4) equation:


Simplifying
-5(3y + -10) + -1y = 4(y + -4)

Reorder the terms:
-5(-10 + 3y) + -1y = 4(y + -4)
(-10 * -5 + 3y * -5) + -1y = 4(y + -4)
(50 + -15y) + -1y = 4(y + -4)

Combine like terms: -15y + -1y = -16y
50 + -16y = 4(y + -4)

Reorder the terms:
50 + -16y = 4(-4 + y)
50 + -16y = (-4 * 4 + y * 4)
50 + -16y = (-16 + 4y)

Solving
50 + -16y = -16 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
50 + -16y + -4y = -16 + 4y + -4y

Combine like terms: -16y + -4y = -20y
50 + -20y = -16 + 4y + -4y

Combine like terms: 4y + -4y = 0
50 + -20y = -16 + 0
50 + -20y = -16

Add '-50' to each side of the equation.
50 + -50 + -20y = -16 + -50

Combine like terms: 50 + -50 = 0
0 + -20y = -16 + -50
-20y = -16 + -50

Combine like terms: -16 + -50 = -66
-20y = -66

Divide each side by '-20'.
y = 3.3

Simplifying
y = 3.3

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