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

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


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

Reorder the terms:
7y + 4(-5 + y) = 4(y + 2) + -5
7y + (-5 * 4 + y * 4) = 4(y + 2) + -5
7y + (-20 + 4y) = 4(y + 2) + -5

Reorder the terms:
-20 + 7y + 4y = 4(y + 2) + -5

Combine like terms: 7y + 4y = 11y
-20 + 11y = 4(y + 2) + -5

Reorder the terms:
-20 + 11y = 4(2 + y) + -5
-20 + 11y = (2 * 4 + y * 4) + -5
-20 + 11y = (8 + 4y) + -5

Reorder the terms:
-20 + 11y = 8 + -5 + 4y

Combine like terms: 8 + -5 = 3
-20 + 11y = 3 + 4y

Solving
-20 + 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.
-20 + 11y + -4y = 3 + 4y + -4y

Combine like terms: 11y + -4y = 7y
-20 + 7y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0
-20 + 7y = 3 + 0
-20 + 7y = 3

Add '20' to each side of the equation.
-20 + 20 + 7y = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 7y = 3 + 20
7y = 3 + 20

Combine like terms: 3 + 20 = 23
7y = 23

Divide each side by '7'.
y = 3.285714286

Simplifying
y = 3.285714286

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