4=3(2y-7)-(4y+5)

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Solution for 4=3(2y-7)-(4y+5) equation:


Simplifying
4 = 3(2y + -7) + -1(4y + 5)

Reorder the terms:
4 = 3(-7 + 2y) + -1(4y + 5)
4 = (-7 * 3 + 2y * 3) + -1(4y + 5)
4 = (-21 + 6y) + -1(4y + 5)

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

Reorder the terms:
4 = -21 + -5 + 6y + -4y

Combine like terms: -21 + -5 = -26
4 = -26 + 6y + -4y

Combine like terms: 6y + -4y = 2y
4 = -26 + 2y

Solving
4 = -26 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
4 + -2y = -26 + 2y + -2y

Combine like terms: 2y + -2y = 0
4 + -2y = -26 + 0
4 + -2y = -26

Add '-4' to each side of the equation.
4 + -4 + -2y = -26 + -4

Combine like terms: 4 + -4 = 0
0 + -2y = -26 + -4
-2y = -26 + -4

Combine like terms: -26 + -4 = -30
-2y = -30

Divide each side by '-2'.
y = 15

Simplifying
y = 15

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