0.4*(6y-7)=0.5*(3y+7)

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Solution for 0.4*(6y-7)=0.5*(3y+7) equation: 


Simplifying
0.4(6y + -7) = 0.5(3y + 7)

Reorder the terms:
0.4(-7 + 6y) = 0.5(3y + 7)
(-7 * 0.4 + 6y * 0.4) = 0.5(3y + 7)
(-2.8 + 2.4y) = 0.5(3y + 7)

Reorder the terms:
-2.8 + 2.4y = 0.5(7 + 3y)
-2.8 + 2.4y = (7 * 0.5 + 3y * 0.5)
-2.8 + 2.4y = (3.5 + 1.5y)

Solving
-2.8 + 2.4y = 3.5 + 1.5y

Solving for variable 'y'.

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

Add '-1.5y' to each side of the equation.
-2.8 + 2.4y + -1.5y = 3.5 + 1.5y + -1.5y

Combine like terms: 2.4y + -1.5y = 0.9y
-2.8 + 0.9y = 3.5 + 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
-2.8 + 0.9y = 3.5 + 0.0
-2.8 + 0.9y = 3.5

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 0.9y = 3.5 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 0.9y = 3.5 + 2.8
0.9y = 3.5 + 2.8

Combine like terms: 3.5 + 2.8 = 6.3
0.9y = 6.3

Divide each side by '0.9'.
y = 7

Simplifying
y = 7

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