-2(24-7)-y=-4(y-3)

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Solution for -2(24-7)-y=-4(y-3) equation:


Simplifying
-2(24 + -7) + -1y = -4(y + -3)

Combine like terms: 24 + -7 = 17
-2(17) + -1y = -4(y + -3)

Multiply -2 * 17
-34 + -1y = -4(y + -3)

Reorder the terms:
-34 + -1y = -4(-3 + y)
-34 + -1y = (-3 * -4 + y * -4)
-34 + -1y = (12 + -4y)

Solving
-34 + -1y = 12 + -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.
-34 + -1y + 4y = 12 + -4y + 4y

Combine like terms: -1y + 4y = 3y
-34 + 3y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
-34 + 3y = 12 + 0
-34 + 3y = 12

Add '34' to each side of the equation.
-34 + 34 + 3y = 12 + 34

Combine like terms: -34 + 34 = 0
0 + 3y = 12 + 34
3y = 12 + 34

Combine like terms: 12 + 34 = 46
3y = 46

Divide each side by '3'.
y = 15.33333333

Simplifying
y = 15.33333333

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