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Simplifying 0.12 + 0.03(y + -5) = -0.01(y + -4) + 0.02 Reorder the terms: 0.12 + 0.03(-5 + y) = -0.01(y + -4) + 0.02 0.12 + (-5 * 0.03 + y * 0.03) = -0.01(y + -4) + 0.02 0.12 + (-0.15 + 0.03y) = -0.01(y + -4) + 0.02 Combine like terms: 0.12 + -0.15 = -0.03 -0.03 + 0.03y = -0.01(y + -4) + 0.02 Reorder the terms: -0.03 + 0.03y = -0.01(-4 + y) + 0.02 -0.03 + 0.03y = (-4 * -0.01 + y * -0.01) + 0.02 -0.03 + 0.03y = (0.04 + -0.01y) + 0.02 Reorder the terms: -0.03 + 0.03y = 0.04 + 0.02 + -0.01y Combine like terms: 0.04 + 0.02 = 0.06 -0.03 + 0.03y = 0.06 + -0.01y Solving -0.03 + 0.03y = 0.06 + -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. -0.03 + 0.03y + 0.01y = 0.06 + -0.01y + 0.01y Combine like terms: 0.03y + 0.01y = 0.04y -0.03 + 0.04y = 0.06 + -0.01y + 0.01y Combine like terms: -0.01y + 0.01y = 0.00 -0.03 + 0.04y = 0.06 + 0.00 -0.03 + 0.04y = 0.06 Add '0.03' to each side of the equation. -0.03 + 0.03 + 0.04y = 0.06 + 0.03 Combine like terms: -0.03 + 0.03 = 0.00 0.00 + 0.04y = 0.06 + 0.03 0.04y = 0.06 + 0.03 Combine like terms: 0.06 + 0.03 = 0.09 0.04y = 0.09 Divide each side by '0.04'. y = 2.25 Simplifying y = 2.25
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