7y+4(y-8)=4(y+1)-2

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Solution for 7y+4(y-8)=4(y+1)-2 equation:


Simplifying
7y + 4(y + -8) = 4(y + 1) + -2

Reorder the terms:
7y + 4(-8 + y) = 4(y + 1) + -2
7y + (-8 * 4 + y * 4) = 4(y + 1) + -2
7y + (-32 + 4y) = 4(y + 1) + -2

Reorder the terms:
-32 + 7y + 4y = 4(y + 1) + -2

Combine like terms: 7y + 4y = 11y
-32 + 11y = 4(y + 1) + -2

Reorder the terms:
-32 + 11y = 4(1 + y) + -2
-32 + 11y = (1 * 4 + y * 4) + -2
-32 + 11y = (4 + 4y) + -2

Reorder the terms:
-32 + 11y = 4 + -2 + 4y

Combine like terms: 4 + -2 = 2
-32 + 11y = 2 + 4y

Solving
-32 + 11y = 2 + 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.
-32 + 11y + -4y = 2 + 4y + -4y

Combine like terms: 11y + -4y = 7y
-32 + 7y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-32 + 7y = 2 + 0
-32 + 7y = 2

Add '32' to each side of the equation.
-32 + 32 + 7y = 2 + 32

Combine like terms: -32 + 32 = 0
0 + 7y = 2 + 32
7y = 2 + 32

Combine like terms: 2 + 32 = 34
7y = 34

Divide each side by '7'.
y = 4.857142857

Simplifying
y = 4.857142857

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