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Simplifying 0.14(y + -4) + 0.18 = 0.10y + -1 Reorder the terms: 0.14(-4 + y) + 0.18 = 0.10y + -1 (-4 * 0.14 + y * 0.14) + 0.18 = 0.10y + -1 (-0.56 + 0.14y) + 0.18 = 0.10y + -1 Reorder the terms: -0.56 + 0.18 + 0.14y = 0.10y + -1 Combine like terms: -0.56 + 0.18 = -0.38 -0.38 + 0.14y = 0.10y + -1 Reorder the terms: -0.38 + 0.14y = -1 + 0.10y Solving -0.38 + 0.14y = -1 + 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. -0.38 + 0.14y + -0.10y = -1 + 0.10y + -0.10y Combine like terms: 0.14y + -0.10y = 0.04y -0.38 + 0.04y = -1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.38 + 0.04y = -1 + 0.00 -0.38 + 0.04y = -1 Add '0.38' to each side of the equation. -0.38 + 0.38 + 0.04y = -1 + 0.38 Combine like terms: -0.38 + 0.38 = 0.00 0.00 + 0.04y = -1 + 0.38 0.04y = -1 + 0.38 Combine like terms: -1 + 0.38 = -0.62 0.04y = -0.62 Divide each side by '0.04'. y = -15.5 Simplifying y = -15.5
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