2(y+5)-4=6(y-2)+2

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Solution for 2(y+5)-4=6(y-2)+2 equation:


Simplifying
2(y + 5) + -4 = 6(y + -2) + 2

Reorder the terms:
2(5 + y) + -4 = 6(y + -2) + 2
(5 * 2 + y * 2) + -4 = 6(y + -2) + 2
(10 + 2y) + -4 = 6(y + -2) + 2

Reorder the terms:
10 + -4 + 2y = 6(y + -2) + 2

Combine like terms: 10 + -4 = 6
6 + 2y = 6(y + -2) + 2

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

Reorder the terms:
6 + 2y = -12 + 2 + 6y

Combine like terms: -12 + 2 = -10
6 + 2y = -10 + 6y

Solving
6 + 2y = -10 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + 2y + -6y = -10 + 6y + -6y

Combine like terms: 2y + -6y = -4y
6 + -4y = -10 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -4y = -10 + 0
6 + -4y = -10

Add '-6' to each side of the equation.
6 + -6 + -4y = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = -10 + -6
-4y = -10 + -6

Combine like terms: -10 + -6 = -16
-4y = -16

Divide each side by '-4'.
y = 4

Simplifying
y = 4

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