2(y-3)+8=6y-3

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Solution for 2(y-3)+8=6y-3 equation:


Simplifying
2(y + -3) + 8 = 6y + -3

Reorder the terms:
2(-3 + y) + 8 = 6y + -3
(-3 * 2 + y * 2) + 8 = 6y + -3
(-6 + 2y) + 8 = 6y + -3

Reorder the terms:
-6 + 8 + 2y = 6y + -3

Combine like terms: -6 + 8 = 2
2 + 2y = 6y + -3

Reorder the terms:
2 + 2y = -3 + 6y

Solving
2 + 2y = -3 + 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.
2 + 2y + -6y = -3 + 6y + -6y

Combine like terms: 2y + -6y = -4y
2 + -4y = -3 + 6y + -6y

Combine like terms: 6y + -6y = 0
2 + -4y = -3 + 0
2 + -4y = -3

Add '-2' to each side of the equation.
2 + -2 + -4y = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -4y = -3 + -2
-4y = -3 + -2

Combine like terms: -3 + -2 = -5
-4y = -5

Divide each side by '-4'.
y = 1.25

Simplifying
y = 1.25

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