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

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


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

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

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

Combine like terms: 7y + 2y = 9y
-4 + 9y = 4(y + 1) + -2

Reorder the terms:
-4 + 9y = 4(1 + y) + -2
-4 + 9y = (1 * 4 + y * 4) + -2
-4 + 9y = (4 + 4y) + -2

Reorder the terms:
-4 + 9y = 4 + -2 + 4y

Combine like terms: 4 + -2 = 2
-4 + 9y = 2 + 4y

Solving
-4 + 9y = 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.
-4 + 9y + -4y = 2 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-4 + 5y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-4 + 5y = 2 + 0
-4 + 5y = 2

Add '4' to each side of the equation.
-4 + 4 + 5y = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = 2 + 4
5y = 2 + 4

Combine like terms: 2 + 4 = 6
5y = 6

Divide each side by '5'.
y = 1.2

Simplifying
y = 1.2

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