-79+10y+5=4(5y-2)-6

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Solution for -79+10y+5=4(5y-2)-6 equation:


Simplifying
-79 + 10y + 5 = 4(5y + -2) + -6

Reorder the terms:
-79 + 5 + 10y = 4(5y + -2) + -6

Combine like terms: -79 + 5 = -74
-74 + 10y = 4(5y + -2) + -6

Reorder the terms:
-74 + 10y = 4(-2 + 5y) + -6
-74 + 10y = (-2 * 4 + 5y * 4) + -6
-74 + 10y = (-8 + 20y) + -6

Reorder the terms:
-74 + 10y = -8 + -6 + 20y

Combine like terms: -8 + -6 = -14
-74 + 10y = -14 + 20y

Solving
-74 + 10y = -14 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-74 + 10y + -20y = -14 + 20y + -20y

Combine like terms: 10y + -20y = -10y
-74 + -10y = -14 + 20y + -20y

Combine like terms: 20y + -20y = 0
-74 + -10y = -14 + 0
-74 + -10y = -14

Add '74' to each side of the equation.
-74 + 74 + -10y = -14 + 74

Combine like terms: -74 + 74 = 0
0 + -10y = -14 + 74
-10y = -14 + 74

Combine like terms: -14 + 74 = 60
-10y = 60

Divide each side by '-10'.
y = -6

Simplifying
y = -6

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