-10y+1=-3(5y+8)

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Solution for -10y+1=-3(5y+8) equation: 


Simplifying
-10y + 1 = -3(5y + 8)

Reorder the terms:
1 + -10y = -3(5y + 8)

Reorder the terms:
1 + -10y = -3(8 + 5y)
1 + -10y = (8 * -3 + 5y * -3)
1 + -10y = (-24 + -15y)

Solving
1 + -10y = -24 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
1 + -10y + 15y = -24 + -15y + 15y

Combine like terms: -10y + 15y = 5y
1 + 5y = -24 + -15y + 15y

Combine like terms: -15y + 15y = 0
1 + 5y = -24 + 0
1 + 5y = -24

Add '-1' to each side of the equation.
1 + -1 + 5y = -24 + -1

Combine like terms: 1 + -1 = 0
0 + 5y = -24 + -1
5y = -24 + -1

Combine like terms: -24 + -1 = -25
5y = -25

Divide each side by '5'.
y = -5

Simplifying
y = -5

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