3(y+4)+10(y-5)+2=

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Solution for 3(y+4)+10(y-5)+2= equation:


Simplifying
3(y + 4) + 10(y + -5) + 2 = 0

Reorder the terms:
3(4 + y) + 10(y + -5) + 2 = 0
(4 * 3 + y * 3) + 10(y + -5) + 2 = 0
(12 + 3y) + 10(y + -5) + 2 = 0

Reorder the terms:
12 + 3y + 10(-5 + y) + 2 = 0
12 + 3y + (-5 * 10 + y * 10) + 2 = 0
12 + 3y + (-50 + 10y) + 2 = 0

Reorder the terms:
12 + -50 + 2 + 3y + 10y = 0

Combine like terms: 12 + -50 = -38
-38 + 2 + 3y + 10y = 0

Combine like terms: -38 + 2 = -36
-36 + 3y + 10y = 0

Combine like terms: 3y + 10y = 13y
-36 + 13y = 0

Solving
-36 + 13y = 0

Solving for variable 'y'.

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

Add '36' to each side of the equation.
-36 + 36 + 13y = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 13y = 0 + 36
13y = 0 + 36

Combine like terms: 0 + 36 = 36
13y = 36

Divide each side by '13'.
y = 2.769230769

Simplifying
y = 2.769230769

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