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Simplifying 0.10(y + -5) + 0.04y = 0.18y + -0.03(10) Reorder the terms: 0.10(-5 + y) + 0.04y = 0.18y + -0.03(10) (-5 * 0.10 + y * 0.10) + 0.04y = 0.18y + -0.03(10) (-0.5 + 0.10y) + 0.04y = 0.18y + -0.03(10) Combine like terms: 0.10y + 0.04y = 0.14y -0.5 + 0.14y = 0.18y + -0.03(10) Multiply -0.03 * 10 -0.5 + 0.14y = 0.18y + -0.3 Reorder the terms: -0.5 + 0.14y = -0.3 + 0.18y Solving -0.5 + 0.14y = -0.3 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.5 + 0.14y + -0.18y = -0.3 + 0.18y + -0.18y Combine like terms: 0.14y + -0.18y = -0.04y -0.5 + -0.04y = -0.3 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.5 + -0.04y = -0.3 + 0.00 -0.5 + -0.04y = -0.3 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.04y = -0.3 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.04y = -0.3 + 0.5 -0.04y = -0.3 + 0.5 Combine like terms: -0.3 + 0.5 = 0.2 -0.04y = 0.2 Divide each side by '-0.04'. y = -5 Simplifying y = -5
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