-2+7(-7y-5)=-3(8y+7)+4

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Solution for -2+7(-7y-5)=-3(8y+7)+4 equation:


Simplifying
-2 + 7(-7y + -5) = -3(8y + 7) + 4

Reorder the terms:
-2 + 7(-5 + -7y) = -3(8y + 7) + 4
-2 + (-5 * 7 + -7y * 7) = -3(8y + 7) + 4
-2 + (-35 + -49y) = -3(8y + 7) + 4

Combine like terms: -2 + -35 = -37
-37 + -49y = -3(8y + 7) + 4

Reorder the terms:
-37 + -49y = -3(7 + 8y) + 4
-37 + -49y = (7 * -3 + 8y * -3) + 4
-37 + -49y = (-21 + -24y) + 4

Reorder the terms:
-37 + -49y = -21 + 4 + -24y

Combine like terms: -21 + 4 = -17
-37 + -49y = -17 + -24y

Solving
-37 + -49y = -17 + -24y

Solving for variable 'y'.

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

Add '24y' to each side of the equation.
-37 + -49y + 24y = -17 + -24y + 24y

Combine like terms: -49y + 24y = -25y
-37 + -25y = -17 + -24y + 24y

Combine like terms: -24y + 24y = 0
-37 + -25y = -17 + 0
-37 + -25y = -17

Add '37' to each side of the equation.
-37 + 37 + -25y = -17 + 37

Combine like terms: -37 + 37 = 0
0 + -25y = -17 + 37
-25y = -17 + 37

Combine like terms: -17 + 37 = 20
-25y = 20

Divide each side by '-25'.
y = -0.8

Simplifying
y = -0.8

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