7(2y+3.5)=15.5-4y

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Solution for 7(2y+3.5)=15.5-4y equation: 


Simplifying
7(2y + 3.5) = 15.5 + -4y

Reorder the terms:
7(3.5 + 2y) = 15.5 + -4y
(3.5 * 7 + 2y * 7) = 15.5 + -4y
(24.5 + 14y) = 15.5 + -4y

Solving
24.5 + 14y = 15.5 + -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.
24.5 + 14y + 4y = 15.5 + -4y + 4y

Combine like terms: 14y + 4y = 18y
24.5 + 18y = 15.5 + -4y + 4y

Combine like terms: -4y + 4y = 0
24.5 + 18y = 15.5 + 0
24.5 + 18y = 15.5

Add '-24.5' to each side of the equation.
24.5 + -24.5 + 18y = 15.5 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + 18y = 15.5 + -24.5
18y = 15.5 + -24.5

Combine like terms: 15.5 + -24.5 = -9
18y = -9

Divide each side by '18'.
y = -0.5

Simplifying
y = -0.5

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