-3(6y-7)-y=-4(y-5)

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Solution for -3(6y-7)-y=-4(y-5) equation:


Simplifying
-3(6y + -7) + -1y = -4(y + -5)

Reorder the terms:
-3(-7 + 6y) + -1y = -4(y + -5)
(-7 * -3 + 6y * -3) + -1y = -4(y + -5)
(21 + -18y) + -1y = -4(y + -5)

Combine like terms: -18y + -1y = -19y
21 + -19y = -4(y + -5)

Reorder the terms:
21 + -19y = -4(-5 + y)
21 + -19y = (-5 * -4 + y * -4)
21 + -19y = (20 + -4y)

Solving
21 + -19y = 20 + -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 + -19y + 4y = 20 + -4y + 4y

Combine like terms: -19y + 4y = -15y
21 + -15y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
21 + -15y = 20 + 0
21 + -15y = 20

Add '-21' to each side of the equation.
21 + -21 + -15y = 20 + -21

Combine like terms: 21 + -21 = 0
0 + -15y = 20 + -21
-15y = 20 + -21

Combine like terms: 20 + -21 = -1
-15y = -1

Divide each side by '-15'.
y = 0.06666666667

Simplifying
y = 0.06666666667

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