-4(5y-6)+21(y-4)=-58-8

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Solution for -4(5y-6)+21(y-4)=-58-8 equation: 


Simplifying
-4(5y + -6) + 21(y + -4) = -58 + -8

Reorder the terms:
-4(-6 + 5y) + 21(y + -4) = -58 + -8
(-6 * -4 + 5y * -4) + 21(y + -4) = -58 + -8
(24 + -20y) + 21(y + -4) = -58 + -8

Reorder the terms:
24 + -20y + 21(-4 + y) = -58 + -8
24 + -20y + (-4 * 21 + y * 21) = -58 + -8
24 + -20y + (-84 + 21y) = -58 + -8

Reorder the terms:
24 + -84 + -20y + 21y = -58 + -8

Combine like terms: 24 + -84 = -60
-60 + -20y + 21y = -58 + -8

Combine like terms: -20y + 21y = 1y
-60 + 1y = -58 + -8

Combine like terms: -58 + -8 = -66
-60 + 1y = -66

Solving
-60 + 1y = -66

Solving for variable 'y'.

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

Add '60' to each side of the equation.
-60 + 60 + 1y = -66 + 60

Combine like terms: -60 + 60 = 0
0 + 1y = -66 + 60
1y = -66 + 60

Combine like terms: -66 + 60 = -6
1y = -6

Divide each side by '1'.
y = -6

Simplifying
y = -6

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