5y+5=3(5y-4)-10

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Solution for 5y+5=3(5y-4)-10 equation:


Simplifying
5y + 5 = 3(5y + -4) + -10

Reorder the terms:
5 + 5y = 3(5y + -4) + -10

Reorder the terms:
5 + 5y = 3(-4 + 5y) + -10
5 + 5y = (-4 * 3 + 5y * 3) + -10
5 + 5y = (-12 + 15y) + -10

Reorder the terms:
5 + 5y = -12 + -10 + 15y

Combine like terms: -12 + -10 = -22
5 + 5y = -22 + 15y

Solving
5 + 5y = -22 + 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.
5 + 5y + -15y = -22 + 15y + -15y

Combine like terms: 5y + -15y = -10y
5 + -10y = -22 + 15y + -15y

Combine like terms: 15y + -15y = 0
5 + -10y = -22 + 0
5 + -10y = -22

Add '-5' to each side of the equation.
5 + -5 + -10y = -22 + -5

Combine like terms: 5 + -5 = 0
0 + -10y = -22 + -5
-10y = -22 + -5

Combine like terms: -22 + -5 = -27
-10y = -27

Divide each side by '-10'.
y = 2.7

Simplifying
y = 2.7

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