-69+20y+8=6(4y-5)-7

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Solution for -69+20y+8=6(4y-5)-7 equation:


Simplifying
-69 + 20y + 8 = 6(4y + -5) + -7

Reorder the terms:
-69 + 8 + 20y = 6(4y + -5) + -7

Combine like terms: -69 + 8 = -61
-61 + 20y = 6(4y + -5) + -7

Reorder the terms:
-61 + 20y = 6(-5 + 4y) + -7
-61 + 20y = (-5 * 6 + 4y * 6) + -7
-61 + 20y = (-30 + 24y) + -7

Reorder the terms:
-61 + 20y = -30 + -7 + 24y

Combine like terms: -30 + -7 = -37
-61 + 20y = -37 + 24y

Solving
-61 + 20y = -37 + 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.
-61 + 20y + -24y = -37 + 24y + -24y

Combine like terms: 20y + -24y = -4y
-61 + -4y = -37 + 24y + -24y

Combine like terms: 24y + -24y = 0
-61 + -4y = -37 + 0
-61 + -4y = -37

Add '61' to each side of the equation.
-61 + 61 + -4y = -37 + 61

Combine like terms: -61 + 61 = 0
0 + -4y = -37 + 61
-4y = -37 + 61

Combine like terms: -37 + 61 = 24
-4y = 24

Divide each side by '-4'.
y = -6

Simplifying
y = -6

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