0.05(y-20)+0.06=0.01y-0.05(80)

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Solution for 0.05(y-20)+0.06=0.01y-0.05(80) equation: 


Simplifying
0.05(y + -20) + 0.06 = 0.01y + -0.05(80)

Reorder the terms:
0.05(-20 + y) + 0.06 = 0.01y + -0.05(80)
(-20 * 0.05 + y * 0.05) + 0.06 = 0.01y + -0.05(80)
(-1 + 0.05y) + 0.06 = 0.01y + -0.05(80)

Reorder the terms:
-1 + 0.06 + 0.05y = 0.01y + -0.05(80)

Combine like terms: -1 + 0.06 = -0.94
-0.94 + 0.05y = 0.01y + -0.05(80)

Multiply -0.05 * 80
-0.94 + 0.05y = 0.01y + -4

Reorder the terms:
-0.94 + 0.05y = -4 + 0.01y

Solving
-0.94 + 0.05y = -4 + 0.01y

Solving for variable 'y'.

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

Add '-0.01y' to each side of the equation.
-0.94 + 0.05y + -0.01y = -4 + 0.01y + -0.01y

Combine like terms: 0.05y + -0.01y = 0.04y
-0.94 + 0.04y = -4 + 0.01y + -0.01y

Combine like terms: 0.01y + -0.01y = 0.00
-0.94 + 0.04y = -4 + 0.00
-0.94 + 0.04y = -4

Add '0.94' to each side of the equation.
-0.94 + 0.94 + 0.04y = -4 + 0.94

Combine like terms: -0.94 + 0.94 = 0.00
0.00 + 0.04y = -4 + 0.94
0.04y = -4 + 0.94

Combine like terms: -4 + 0.94 = -3.06
0.04y = -3.06

Divide each side by '0.04'.
y = -76.5

Simplifying
y = -76.5

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