5(y-3)+2(y+4)=-21

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Solution for 5(y-3)+2(y+4)=-21 equation: 


Simplifying
5(y + -3) + 2(y + 4) = -21

Reorder the terms:
5(-3 + y) + 2(y + 4) = -21
(-3 * 5 + y * 5) + 2(y + 4) = -21
(-15 + 5y) + 2(y + 4) = -21

Reorder the terms:
-15 + 5y + 2(4 + y) = -21
-15 + 5y + (4 * 2 + y * 2) = -21
-15 + 5y + (8 + 2y) = -21

Reorder the terms:
-15 + 8 + 5y + 2y = -21

Combine like terms: -15 + 8 = -7
-7 + 5y + 2y = -21

Combine like terms: 5y + 2y = 7y
-7 + 7y = -21

Solving
-7 + 7y = -21

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 7y = -21 + 7

Combine like terms: -7 + 7 = 0
0 + 7y = -21 + 7
7y = -21 + 7

Combine like terms: -21 + 7 = -14
7y = -14

Divide each side by '7'.
y = -2

Simplifying
y = -2

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