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Simplifying 0.01(y + 12) + -0.12 = 0.01(5y + 12) Reorder the terms: 0.01(12 + y) + -0.12 = 0.01(5y + 12) (12 * 0.01 + y * 0.01) + -0.12 = 0.01(5y + 12) (0.12 + 0.01y) + -0.12 = 0.01(5y + 12) Reorder the terms: 0.12 + -0.12 + 0.01y = 0.01(5y + 12) Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.01y = 0.01(5y + 12) 0.01y = 0.01(5y + 12) Reorder the terms: 0.01y = 0.01(12 + 5y) 0.01y = (12 * 0.01 + 5y * 0.01) 0.01y = (0.12 + 0.05y) Solving 0.01y = 0.12 + 0.05y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.05y' to each side of the equation. 0.01y + -0.05y = 0.12 + 0.05y + -0.05y Combine like terms: 0.01y + -0.05y = -0.04y -0.04y = 0.12 + 0.05y + -0.05y Combine like terms: 0.05y + -0.05y = 0.00 -0.04y = 0.12 + 0.00 -0.04y = 0.12 Divide each side by '-0.04'. y = -3 Simplifying y = -3
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