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

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


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

Reorder the terms:
5(-1 + 2y) + -6(y + 2) + 3 = 6
(-1 * 5 + 2y * 5) + -6(y + 2) + 3 = 6
(-5 + 10y) + -6(y + 2) + 3 = 6

Reorder the terms:
-5 + 10y + -6(2 + y) + 3 = 6
-5 + 10y + (2 * -6 + y * -6) + 3 = 6
-5 + 10y + (-12 + -6y) + 3 = 6

Reorder the terms:
-5 + -12 + 3 + 10y + -6y = 6

Combine like terms: -5 + -12 = -17
-17 + 3 + 10y + -6y = 6

Combine like terms: -17 + 3 = -14
-14 + 10y + -6y = 6

Combine like terms: 10y + -6y = 4y
-14 + 4y = 6

Solving
-14 + 4y = 6

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 4y = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 4y = 6 + 14
4y = 6 + 14

Combine like terms: 6 + 14 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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