7(y+3)=-3(y-4)-45

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Solution for 7(y+3)=-3(y-4)-45 equation: 


Simplifying
7(y + 3) = -3(y + -4) + -45

Reorder the terms:
7(3 + y) = -3(y + -4) + -45
(3 * 7 + y * 7) = -3(y + -4) + -45
(21 + 7y) = -3(y + -4) + -45

Reorder the terms:
21 + 7y = -3(-4 + y) + -45
21 + 7y = (-4 * -3 + y * -3) + -45
21 + 7y = (12 + -3y) + -45

Reorder the terms:
21 + 7y = 12 + -45 + -3y

Combine like terms: 12 + -45 = -33
21 + 7y = -33 + -3y

Solving
21 + 7y = -33 + -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.
21 + 7y + 3y = -33 + -3y + 3y

Combine like terms: 7y + 3y = 10y
21 + 10y = -33 + -3y + 3y

Combine like terms: -3y + 3y = 0
21 + 10y = -33 + 0
21 + 10y = -33

Add '-21' to each side of the equation.
21 + -21 + 10y = -33 + -21

Combine like terms: 21 + -21 = 0
0 + 10y = -33 + -21
10y = -33 + -21

Combine like terms: -33 + -21 = -54
10y = -54

Divide each side by '10'.
y = -5.4

Simplifying
y = -5.4

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