y+3y+y-2+4(y-2)=116

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Solution for y+3y+y-2+4(y-2)=116 equation:


Simplifying
y + 3y + y + -2 + 4(y + -2) = 116

Reorder the terms:
y + 3y + y + -2 + 4(-2 + y) = 116
y + 3y + y + -2 + (-2 * 4 + y * 4) = 116
y + 3y + y + -2 + (-8 + 4y) = 116

Reorder the terms:
-2 + -8 + y + 3y + y + 4y = 116

Combine like terms: -2 + -8 = -10
-10 + y + 3y + y + 4y = 116

Combine like terms: y + 3y = 4y
-10 + 4y + y + 4y = 116

Combine like terms: 4y + y = 5y
-10 + 5y + 4y = 116

Combine like terms: 5y + 4y = 9y
-10 + 9y = 116

Solving
-10 + 9y = 116

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 9y = 116 + 10

Combine like terms: -10 + 10 = 0
0 + 9y = 116 + 10
9y = 116 + 10

Combine like terms: 116 + 10 = 126
9y = 126

Divide each side by '9'.
y = 14

Simplifying
y = 14

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