0.3(y+4)+2=0.16(5y-4)-6

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Solution for 0.3(y+4)+2=0.16(5y-4)-6 equation: 


Simplifying
0.3(y + 4) + 2 = 0.16(5y + -4) + -6

Reorder the terms:
0.3(4 + y) + 2 = 0.16(5y + -4) + -6
(4 * 0.3 + y * 0.3) + 2 = 0.16(5y + -4) + -6
(1.2 + 0.3y) + 2 = 0.16(5y + -4) + -6

Reorder the terms:
1.2 + 2 + 0.3y = 0.16(5y + -4) + -6

Combine like terms: 1.2 + 2 = 3.2
3.2 + 0.3y = 0.16(5y + -4) + -6

Reorder the terms:
3.2 + 0.3y = 0.16(-4 + 5y) + -6
3.2 + 0.3y = (-4 * 0.16 + 5y * 0.16) + -6
3.2 + 0.3y = (-0.64 + 0.8y) + -6

Reorder the terms:
3.2 + 0.3y = -0.64 + -6 + 0.8y

Combine like terms: -0.64 + -6 = -6.64
3.2 + 0.3y = -6.64 + 0.8y

Solving
3.2 + 0.3y = -6.64 + 0.8y

Solving for variable 'y'.

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

Add '-0.8y' to each side of the equation.
3.2 + 0.3y + -0.8y = -6.64 + 0.8y + -0.8y

Combine like terms: 0.3y + -0.8y = -0.5y
3.2 + -0.5y = -6.64 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
3.2 + -0.5y = -6.64 + 0.0
3.2 + -0.5y = -6.64

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -0.5y = -6.64 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -0.5y = -6.64 + -3.2
-0.5y = -6.64 + -3.2

Combine like terms: -6.64 + -3.2 = -9.84
-0.5y = -9.84

Divide each side by '-0.5'.
y = 19.68

Simplifying
y = 19.68

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