8y+3(y+7)=4(y+2)-3

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Solution for 8y+3(y+7)=4(y+2)-3 equation: 


Simplifying
8y + 3(y + 7) = 4(y + 2) + -3

Reorder the terms:
8y + 3(7 + y) = 4(y + 2) + -3
8y + (7 * 3 + y * 3) = 4(y + 2) + -3
8y + (21 + 3y) = 4(y + 2) + -3

Reorder the terms:
21 + 8y + 3y = 4(y + 2) + -3

Combine like terms: 8y + 3y = 11y
21 + 11y = 4(y + 2) + -3

Reorder the terms:
21 + 11y = 4(2 + y) + -3
21 + 11y = (2 * 4 + y * 4) + -3
21 + 11y = (8 + 4y) + -3

Reorder the terms:
21 + 11y = 8 + -3 + 4y

Combine like terms: 8 + -3 = 5
21 + 11y = 5 + 4y

Solving
21 + 11y = 5 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
21 + 11y + -4y = 5 + 4y + -4y

Combine like terms: 11y + -4y = 7y
21 + 7y = 5 + 4y + -4y

Combine like terms: 4y + -4y = 0
21 + 7y = 5 + 0
21 + 7y = 5

Add '-21' to each side of the equation.
21 + -21 + 7y = 5 + -21

Combine like terms: 21 + -21 = 0
0 + 7y = 5 + -21
7y = 5 + -21

Combine like terms: 5 + -21 = -16
7y = -16

Divide each side by '7'.
y = -2.285714286

Simplifying
y = -2.285714286

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