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Simplifying 0.14(y + -4) + 0.18y = 0.10y + -1 Reorder the terms: 0.14(-4 + y) + 0.18y = 0.10y + -1 (-4 * 0.14 + y * 0.14) + 0.18y = 0.10y + -1 (-0.56 + 0.14y) + 0.18y = 0.10y + -1 Combine like terms: 0.14y + 0.18y = 0.32y -0.56 + 0.32y = 0.10y + -1 Reorder the terms: -0.56 + 0.32y = -1 + 0.10y Solving -0.56 + 0.32y = -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. -0.56 + 0.32y + -0.10y = -1 + 0.10y + -0.10y Combine like terms: 0.32y + -0.10y = 0.22y -0.56 + 0.22y = -1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.56 + 0.22y = -1 + 0.00 -0.56 + 0.22y = -1 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.22y = -1 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.22y = -1 + 0.56 0.22y = -1 + 0.56 Combine like terms: -1 + 0.56 = -0.44 0.22y = -0.44 Divide each side by '0.22'. y = -2 Simplifying y = -2
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