7y+3(y-6)=2(y+2)-5

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Solution for 7y+3(y-6)=2(y+2)-5 equation:


Simplifying
7y + 3(y + -6) = 2(y + 2) + -5

Reorder the terms:
7y + 3(-6 + y) = 2(y + 2) + -5
7y + (-6 * 3 + y * 3) = 2(y + 2) + -5
7y + (-18 + 3y) = 2(y + 2) + -5

Reorder the terms:
-18 + 7y + 3y = 2(y + 2) + -5

Combine like terms: 7y + 3y = 10y
-18 + 10y = 2(y + 2) + -5

Reorder the terms:
-18 + 10y = 2(2 + y) + -5
-18 + 10y = (2 * 2 + y * 2) + -5
-18 + 10y = (4 + 2y) + -5

Reorder the terms:
-18 + 10y = 4 + -5 + 2y

Combine like terms: 4 + -5 = -1
-18 + 10y = -1 + 2y

Solving
-18 + 10y = -1 + 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.
-18 + 10y + -2y = -1 + 2y + -2y

Combine like terms: 10y + -2y = 8y
-18 + 8y = -1 + 2y + -2y

Combine like terms: 2y + -2y = 0
-18 + 8y = -1 + 0
-18 + 8y = -1

Add '18' to each side of the equation.
-18 + 18 + 8y = -1 + 18

Combine like terms: -18 + 18 = 0
0 + 8y = -1 + 18
8y = -1 + 18

Combine like terms: -1 + 18 = 17
8y = 17

Divide each side by '8'.
y = 2.125

Simplifying
y = 2.125

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