-4y-45=-7(y+6)

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Solution for -4y-45=-7(y+6) equation:


Simplifying
-4y + -45 = -7(y + 6)

Reorder the terms:
-45 + -4y = -7(y + 6)

Reorder the terms:
-45 + -4y = -7(6 + y)
-45 + -4y = (6 * -7 + y * -7)
-45 + -4y = (-42 + -7y)

Solving
-45 + -4y = -42 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-45 + -4y + 7y = -42 + -7y + 7y

Combine like terms: -4y + 7y = 3y
-45 + 3y = -42 + -7y + 7y

Combine like terms: -7y + 7y = 0
-45 + 3y = -42 + 0
-45 + 3y = -42

Add '45' to each side of the equation.
-45 + 45 + 3y = -42 + 45

Combine like terms: -45 + 45 = 0
0 + 3y = -42 + 45
3y = -42 + 45

Combine like terms: -42 + 45 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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