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

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


Simplifying
-2 + -4(8y + -7) = 8(-1y + -3) + 7

Reorder the terms:
-2 + -4(-7 + 8y) = 8(-1y + -3) + 7
-2 + (-7 * -4 + 8y * -4) = 8(-1y + -3) + 7
-2 + (28 + -32y) = 8(-1y + -3) + 7

Combine like terms: -2 + 28 = 26
26 + -32y = 8(-1y + -3) + 7

Reorder the terms:
26 + -32y = 8(-3 + -1y) + 7
26 + -32y = (-3 * 8 + -1y * 8) + 7
26 + -32y = (-24 + -8y) + 7

Reorder the terms:
26 + -32y = -24 + 7 + -8y

Combine like terms: -24 + 7 = -17
26 + -32y = -17 + -8y

Solving
26 + -32y = -17 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
26 + -32y + 8y = -17 + -8y + 8y

Combine like terms: -32y + 8y = -24y
26 + -24y = -17 + -8y + 8y

Combine like terms: -8y + 8y = 0
26 + -24y = -17 + 0
26 + -24y = -17

Add '-26' to each side of the equation.
26 + -26 + -24y = -17 + -26

Combine like terms: 26 + -26 = 0
0 + -24y = -17 + -26
-24y = -17 + -26

Combine like terms: -17 + -26 = -43
-24y = -43

Divide each side by '-24'.
y = 1.791666667

Simplifying
y = 1.791666667

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