4y-8-6y=2(y+5)-3

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Solution for 4y-8-6y=2(y+5)-3 equation:


Simplifying
4y + -8 + -6y = 2(y + 5) + -3

Reorder the terms:
-8 + 4y + -6y = 2(y + 5) + -3

Combine like terms: 4y + -6y = -2y
-8 + -2y = 2(y + 5) + -3

Reorder the terms:
-8 + -2y = 2(5 + y) + -3
-8 + -2y = (5 * 2 + y * 2) + -3
-8 + -2y = (10 + 2y) + -3

Reorder the terms:
-8 + -2y = 10 + -3 + 2y

Combine like terms: 10 + -3 = 7
-8 + -2y = 7 + 2y

Solving
-8 + -2y = 7 + 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.
-8 + -2y + -2y = 7 + 2y + -2y

Combine like terms: -2y + -2y = -4y
-8 + -4y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-8 + -4y = 7 + 0
-8 + -4y = 7

Add '8' to each side of the equation.
-8 + 8 + -4y = 7 + 8

Combine like terms: -8 + 8 = 0
0 + -4y = 7 + 8
-4y = 7 + 8

Combine like terms: 7 + 8 = 15
-4y = 15

Divide each side by '-4'.
y = -3.75

Simplifying
y = -3.75

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