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Simplifying 16(y + -6) + 0.14y = 0.10y + -0.05(30) Reorder the terms: 16(-6 + y) + 0.14y = 0.10y + -0.05(30) (-6 * 16 + y * 16) + 0.14y = 0.10y + -0.05(30) (-96 + 16y) + 0.14y = 0.10y + -0.05(30) Combine like terms: 16y + 0.14y = 16.14y -96 + 16.14y = 0.10y + -0.05(30) Multiply -0.05 * 30 -96 + 16.14y = 0.10y + -1.5 Reorder the terms: -96 + 16.14y = -1.5 + 0.10y Solving -96 + 16.14y = -1.5 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -96 + 16.14y + -0.10y = -1.5 + 0.10y + -0.10y Combine like terms: 16.14y + -0.10y = 16.04y -96 + 16.04y = -1.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -96 + 16.04y = -1.5 + 0.00 -96 + 16.04y = -1.5 Add '96' to each side of the equation. -96 + 96 + 16.04y = -1.5 + 96 Combine like terms: -96 + 96 = 0 0 + 16.04y = -1.5 + 96 16.04y = -1.5 + 96 Combine like terms: -1.5 + 96 = 94.5 16.04y = 94.5 Divide each side by '16.04'. y = 5.891521197 Simplifying y = 5.891521197
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