-3(3y-7)-y=-4(y-4)

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Solution for -3(3y-7)-y=-4(y-4) equation:


Simplifying
-3(3y + -7) + -1y = -4(y + -4)

Reorder the terms:
-3(-7 + 3y) + -1y = -4(y + -4)
(-7 * -3 + 3y * -3) + -1y = -4(y + -4)
(21 + -9y) + -1y = -4(y + -4)

Combine like terms: -9y + -1y = -10y
21 + -10y = -4(y + -4)

Reorder the terms:
21 + -10y = -4(-4 + y)
21 + -10y = (-4 * -4 + y * -4)
21 + -10y = (16 + -4y)

Solving
21 + -10y = 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.
21 + -10y + 4y = 16 + -4y + 4y

Combine like terms: -10y + 4y = -6y
21 + -6y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
21 + -6y = 16 + 0
21 + -6y = 16

Add '-21' to each side of the equation.
21 + -21 + -6y = 16 + -21

Combine like terms: 21 + -21 = 0
0 + -6y = 16 + -21
-6y = 16 + -21

Combine like terms: 16 + -21 = -5
-6y = -5

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333

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