7y+2(y-5)=4(y+1)-3

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Solution for 7y+2(y-5)=4(y+1)-3 equation: 


Simplifying
7y + 2(y + -5) = 4(y + 1) + -3

Reorder the terms:
7y + 2(-5 + y) = 4(y + 1) + -3
7y + (-5 * 2 + y * 2) = 4(y + 1) + -3
7y + (-10 + 2y) = 4(y + 1) + -3

Reorder the terms:
-10 + 7y + 2y = 4(y + 1) + -3

Combine like terms: 7y + 2y = 9y
-10 + 9y = 4(y + 1) + -3

Reorder the terms:
-10 + 9y = 4(1 + y) + -3
-10 + 9y = (1 * 4 + y * 4) + -3
-10 + 9y = (4 + 4y) + -3

Reorder the terms:
-10 + 9y = 4 + -3 + 4y

Combine like terms: 4 + -3 = 1
-10 + 9y = 1 + 4y

Solving
-10 + 9y = 1 + 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 = 1 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-10 + 5y = 1 + 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + 5y = 1 + 0
-10 + 5y = 1

Add '10' to each side of the equation.
-10 + 10 + 5y = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 5y = 1 + 10
5y = 1 + 10

Combine like terms: 1 + 10 = 11
5y = 11

Divide each side by '5'.
y = 2.2

Simplifying
y = 2.2

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