0.5(7y-2)+0.25(6y+5)=

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Solution for 0.5(7y-2)+0.25(6y+5)= equation: 


Simplifying
0.5(7y + -2) + 0.25(6y + 5) = 0

Reorder the terms:
0.5(-2 + 7y) + 0.25(6y + 5) = 0
(-2 * 0.5 + 7y * 0.5) + 0.25(6y + 5) = 0
(-1 + 3.5y) + 0.25(6y + 5) = 0

Reorder the terms:
-1 + 3.5y + 0.25(5 + 6y) = 0
-1 + 3.5y + (5 * 0.25 + 6y * 0.25) = 0
-1 + 3.5y + (1.25 + 1.5y) = 0

Reorder the terms:
-1 + 1.25 + 3.5y + 1.5y = 0

Combine like terms: -1 + 1.25 = 0.25
0.25 + 3.5y + 1.5y = 0

Combine like terms: 3.5y + 1.5y = 5y
0.25 + 5y = 0

Solving
0.25 + 5y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.25' to each side of the equation.
0.25 + -0.25 + 5y = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 5y = 0 + -0.25
5y = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
5y = -0.25

Divide each side by '5'.
y = -0.05

Simplifying
y = -0.05

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