3(y-3)=-7y-49

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Solution for 3(y-3)=-7y-49 equation:


Simplifying
3(y + -3) = -7y + -49

Reorder the terms:
3(-3 + y) = -7y + -49
(-3 * 3 + y * 3) = -7y + -49
(-9 + 3y) = -7y + -49

Reorder the terms:
-9 + 3y = -49 + -7y

Solving
-9 + 3y = -49 + -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.
-9 + 3y + 7y = -49 + -7y + 7y

Combine like terms: 3y + 7y = 10y
-9 + 10y = -49 + -7y + 7y

Combine like terms: -7y + 7y = 0
-9 + 10y = -49 + 0
-9 + 10y = -49

Add '9' to each side of the equation.
-9 + 9 + 10y = -49 + 9

Combine like terms: -9 + 9 = 0
0 + 10y = -49 + 9
10y = -49 + 9

Combine like terms: -49 + 9 = -40
10y = -40

Divide each side by '10'.
y = -4

Simplifying
y = -4

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