8y+3(y-7)=4(y+2)-5

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Solution for 8y+3(y-7)=4(y+2)-5 equation:


Simplifying
8y + 3(y + -7) = 4(y + 2) + -5

Reorder the terms:
8y + 3(-7 + y) = 4(y + 2) + -5
8y + (-7 * 3 + y * 3) = 4(y + 2) + -5
8y + (-21 + 3y) = 4(y + 2) + -5

Reorder the terms:
-21 + 8y + 3y = 4(y + 2) + -5

Combine like terms: 8y + 3y = 11y
-21 + 11y = 4(y + 2) + -5

Reorder the terms:
-21 + 11y = 4(2 + y) + -5
-21 + 11y = (2 * 4 + y * 4) + -5
-21 + 11y = (8 + 4y) + -5

Reorder the terms:
-21 + 11y = 8 + -5 + 4y

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

Solving
-21 + 11y = 3 + 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 = 3 + 4y + -4y

Combine like terms: 11y + -4y = 7y
-21 + 7y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0
-21 + 7y = 3 + 0
-21 + 7y = 3

Add '21' to each side of the equation.
-21 + 21 + 7y = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 7y = 3 + 21
7y = 3 + 21

Combine like terms: 3 + 21 = 24
7y = 24

Divide each side by '7'.
y = 3.428571429

Simplifying
y = 3.428571429

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