0.32y-0.2[0.5(y+1)+0.3]=0.06y

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Solution for 0.32y-0.2[0.5(y+1)+0.3]=0.06y equation:


Simplifying
0.32y + -0.2[0.5(y + 1) + 0.3] = 0.06y

Reorder the terms:
0.32y + -0.2[0.5(1 + y) + 0.3] = 0.06y
0.32y + -0.2[(1 * 0.5 + y * 0.5) + 0.3] = 0.06y
0.32y + -0.2[(0.5 + 0.5y) + 0.3] = 0.06y

Reorder the terms:
0.32y + -0.2[0.5 + 0.3 + 0.5y] = 0.06y

Combine like terms: 0.5 + 0.3 = 0.8
0.32y + -0.2[0.8 + 0.5y] = 0.06y
0.32y + [0.8 * -0.2 + 0.5y * -0.2] = 0.06y
0.32y + [-0.16 + -0.1y] = 0.06y

Reorder the terms:
-0.16 + 0.32y + -0.1y = 0.06y

Combine like terms: 0.32y + -0.1y = 0.22y
-0.16 + 0.22y = 0.06y

Solving
-0.16 + 0.22y = 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-0.16 + 0.22y + -0.06y = 0.06y + -0.06y

Combine like terms: 0.22y + -0.06y = 0.16y
-0.16 + 0.16y = 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.16 + 0.16y = 0.00

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.16y = 0.00 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.16y = 0.00 + 0.16
0.16y = 0.00 + 0.16

Combine like terms: 0.00 + 0.16 = 0.16
0.16y = 0.16

Divide each side by '0.16'.
y = 1

Simplifying
y = 1

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