5y+2(y-7)=4(y+1)-2

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Solution for 5y+2(y-7)=4(y+1)-2 equation: 


Simplifying
5y + 2(y + -7) = 4(y + 1) + -2

Reorder the terms:
5y + 2(-7 + y) = 4(y + 1) + -2
5y + (-7 * 2 + y * 2) = 4(y + 1) + -2
5y + (-14 + 2y) = 4(y + 1) + -2

Reorder the terms:
-14 + 5y + 2y = 4(y + 1) + -2

Combine like terms: 5y + 2y = 7y
-14 + 7y = 4(y + 1) + -2

Reorder the terms:
-14 + 7y = 4(1 + y) + -2
-14 + 7y = (1 * 4 + y * 4) + -2
-14 + 7y = (4 + 4y) + -2

Reorder the terms:
-14 + 7y = 4 + -2 + 4y

Combine like terms: 4 + -2 = 2
-14 + 7y = 2 + 4y

Solving
-14 + 7y = 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.
-14 + 7y + -4y = 2 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-14 + 3y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-14 + 3y = 2 + 0
-14 + 3y = 2

Add '14' to each side of the equation.
-14 + 14 + 3y = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 3y = 2 + 14
3y = 2 + 14

Combine like terms: 2 + 14 = 16
3y = 16

Divide each side by '3'.
y = 5.333333333

Simplifying
y = 5.333333333

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