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

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Solution for 6(y-3)-2(y+5)+10=2 equation:


Simplifying
6(y + -3) + -2(y + 5) + 10 = 2

Reorder the terms:
6(-3 + y) + -2(y + 5) + 10 = 2
(-3 * 6 + y * 6) + -2(y + 5) + 10 = 2
(-18 + 6y) + -2(y + 5) + 10 = 2

Reorder the terms:
-18 + 6y + -2(5 + y) + 10 = 2
-18 + 6y + (5 * -2 + y * -2) + 10 = 2
-18 + 6y + (-10 + -2y) + 10 = 2

Reorder the terms:
-18 + -10 + 10 + 6y + -2y = 2

Combine like terms: -18 + -10 = -28
-28 + 10 + 6y + -2y = 2

Combine like terms: -28 + 10 = -18
-18 + 6y + -2y = 2

Combine like terms: 6y + -2y = 4y
-18 + 4y = 2

Solving
-18 + 4y = 2

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 4y = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 4y = 2 + 18
4y = 2 + 18

Combine like terms: 2 + 18 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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