0.7*(6y-5)=0.4*(y-3)-1.16

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Solution for 0.7*(6y-5)=0.4*(y-3)-1.16 equation: 


Simplifying
0.7(6y + -5) = 0.4(y + -3) + -1.16

Reorder the terms:
0.7(-5 + 6y) = 0.4(y + -3) + -1.16
(-5 * 0.7 + 6y * 0.7) = 0.4(y + -3) + -1.16
(-3.5 + 4.2y) = 0.4(y + -3) + -1.16

Reorder the terms:
-3.5 + 4.2y = 0.4(-3 + y) + -1.16
-3.5 + 4.2y = (-3 * 0.4 + y * 0.4) + -1.16
-3.5 + 4.2y = (-1.2 + 0.4y) + -1.16

Reorder the terms:
-3.5 + 4.2y = -1.2 + -1.16 + 0.4y

Combine like terms: -1.2 + -1.16 = -2.36
-3.5 + 4.2y = -2.36 + 0.4y

Solving
-3.5 + 4.2y = -2.36 + 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
-3.5 + 4.2y + -0.4y = -2.36 + 0.4y + -0.4y

Combine like terms: 4.2y + -0.4y = 3.8y
-3.5 + 3.8y = -2.36 + 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
-3.5 + 3.8y = -2.36 + 0.0
-3.5 + 3.8y = -2.36

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 3.8y = -2.36 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 3.8y = -2.36 + 3.5
3.8y = -2.36 + 3.5

Combine like terms: -2.36 + 3.5 = 1.14
3.8y = 1.14

Divide each side by '3.8'.
y = 0.3

Simplifying
y = 0.3

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