6y-5(1+2)=3+2(1-y)

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Solution for 6y-5(1+2)=3+2(1-y) equation:


Simplifying
6y + -5(1 + 2) = 3 + 2(1 + -1y)

Combine like terms: 1 + 2 = 3
6y + -5(3) = 3 + 2(1 + -1y)

Multiply -5 * 3
6y + -15 = 3 + 2(1 + -1y)

Reorder the terms:
-15 + 6y = 3 + 2(1 + -1y)
-15 + 6y = 3 + (1 * 2 + -1y * 2)
-15 + 6y = 3 + (2 + -2y)

Combine like terms: 3 + 2 = 5
-15 + 6y = 5 + -2y

Solving
-15 + 6y = 5 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-15 + 6y + 2y = 5 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-15 + 8y = 5 + -2y + 2y

Combine like terms: -2y + 2y = 0
-15 + 8y = 5 + 0
-15 + 8y = 5

Add '15' to each side of the equation.
-15 + 15 + 8y = 5 + 15

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

Combine like terms: 5 + 15 = 20
8y = 20

Divide each side by '8'.
y = 2.5

Simplifying
y = 2.5

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