-10y+8=-3(5y-7)+5

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Solution for -10y+8=-3(5y-7)+5 equation:


Simplifying
-10y + 8 = -3(5y + -7) + 5

Reorder the terms:
8 + -10y = -3(5y + -7) + 5

Reorder the terms:
8 + -10y = -3(-7 + 5y) + 5
8 + -10y = (-7 * -3 + 5y * -3) + 5
8 + -10y = (21 + -15y) + 5

Reorder the terms:
8 + -10y = 21 + 5 + -15y

Combine like terms: 21 + 5 = 26
8 + -10y = 26 + -15y

Solving
8 + -10y = 26 + -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.
8 + -10y + 15y = 26 + -15y + 15y

Combine like terms: -10y + 15y = 5y
8 + 5y = 26 + -15y + 15y

Combine like terms: -15y + 15y = 0
8 + 5y = 26 + 0
8 + 5y = 26

Add '-8' to each side of the equation.
8 + -8 + 5y = 26 + -8

Combine like terms: 8 + -8 = 0
0 + 5y = 26 + -8
5y = 26 + -8

Combine like terms: 26 + -8 = 18
5y = 18

Divide each side by '5'.
y = 3.6

Simplifying
y = 3.6

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