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Simplifying 0.14(y + -5) + 0.18y = 0.20y + -0.05(20) Reorder the terms: 0.14(-5 + y) + 0.18y = 0.20y + -0.05(20) (-5 * 0.14 + y * 0.14) + 0.18y = 0.20y + -0.05(20) (-0.7 + 0.14y) + 0.18y = 0.20y + -0.05(20) Combine like terms: 0.14y + 0.18y = 0.32y -0.7 + 0.32y = 0.20y + -0.05(20) Multiply -0.05 * 20 -0.7 + 0.32y = 0.20y + -1 Reorder the terms: -0.7 + 0.32y = -1 + 0.20y Solving -0.7 + 0.32y = -1 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.7 + 0.32y + -0.20y = -1 + 0.20y + -0.20y Combine like terms: 0.32y + -0.20y = 0.12y -0.7 + 0.12y = -1 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.7 + 0.12y = -1 + 0.00 -0.7 + 0.12y = -1 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.12y = -1 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.12y = -1 + 0.7 0.12y = -1 + 0.7 Combine like terms: -1 + 0.7 = -0.3 0.12y = -0.3 Divide each side by '0.12'. y = -2.5 Simplifying y = -2.5
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