5(-2y-4)-3(4y+5)=97

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Solution for 5(-2y-4)-3(4y+5)=97 equation:


Simplifying
5(-2y + -4) + -3(4y + 5) = 97

Reorder the terms:
5(-4 + -2y) + -3(4y + 5) = 97
(-4 * 5 + -2y * 5) + -3(4y + 5) = 97
(-20 + -10y) + -3(4y + 5) = 97

Reorder the terms:
-20 + -10y + -3(5 + 4y) = 97
-20 + -10y + (5 * -3 + 4y * -3) = 97
-20 + -10y + (-15 + -12y) = 97

Reorder the terms:
-20 + -15 + -10y + -12y = 97

Combine like terms: -20 + -15 = -35
-35 + -10y + -12y = 97

Combine like terms: -10y + -12y = -22y
-35 + -22y = 97

Solving
-35 + -22y = 97

Solving for variable 'y'.

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

Add '35' to each side of the equation.
-35 + 35 + -22y = 97 + 35

Combine like terms: -35 + 35 = 0
0 + -22y = 97 + 35
-22y = 97 + 35

Combine like terms: 97 + 35 = 132
-22y = 132

Divide each side by '-22'.
y = -6

Simplifying
y = -6

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