-2y-46=3(y-7)

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Solution for -2y-46=3(y-7) equation:


Simplifying
-2y + -46 = 3(y + -7)

Reorder the terms:
-46 + -2y = 3(y + -7)

Reorder the terms:
-46 + -2y = 3(-7 + y)
-46 + -2y = (-7 * 3 + y * 3)
-46 + -2y = (-21 + 3y)

Solving
-46 + -2y = -21 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-46 + -2y + -3y = -21 + 3y + -3y

Combine like terms: -2y + -3y = -5y
-46 + -5y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
-46 + -5y = -21 + 0
-46 + -5y = -21

Add '46' to each side of the equation.
-46 + 46 + -5y = -21 + 46

Combine like terms: -46 + 46 = 0
0 + -5y = -21 + 46
-5y = -21 + 46

Combine like terms: -21 + 46 = 25
-5y = 25

Divide each side by '-5'.
y = -5

Simplifying
y = -5

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