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

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


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

Reorder the terms:
7y + 2(-5 + y) = 4(y + 2) + -4
7y + (-5 * 2 + y * 2) = 4(y + 2) + -4
7y + (-10 + 2y) = 4(y + 2) + -4

Reorder the terms:
-10 + 7y + 2y = 4(y + 2) + -4

Combine like terms: 7y + 2y = 9y
-10 + 9y = 4(y + 2) + -4

Reorder the terms:
-10 + 9y = 4(2 + y) + -4
-10 + 9y = (2 * 4 + y * 4) + -4
-10 + 9y = (8 + 4y) + -4

Reorder the terms:
-10 + 9y = 8 + -4 + 4y

Combine like terms: 8 + -4 = 4
-10 + 9y = 4 + 4y

Solving
-10 + 9y = 4 + 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.
-10 + 9y + -4y = 4 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-10 + 5y = 4 + 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + 5y = 4 + 0
-10 + 5y = 4

Add '10' to each side of the equation.
-10 + 10 + 5y = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 5y = 4 + 10
5y = 4 + 10

Combine like terms: 4 + 10 = 14
5y = 14

Divide each side by '5'.
y = 2.8

Simplifying
y = 2.8

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