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Simplifying 0.14(y + -4) + 0.18y = 0.20y + -0.5 Reorder the terms: 0.14(-4 + y) + 0.18y = 0.20y + -0.5 (-4 * 0.14 + y * 0.14) + 0.18y = 0.20y + -0.5 (-0.56 + 0.14y) + 0.18y = 0.20y + -0.5 Combine like terms: 0.14y + 0.18y = 0.32y -0.56 + 0.32y = 0.20y + -0.5 Reorder the terms: -0.56 + 0.32y = -0.5 + 0.20y Solving -0.56 + 0.32y = -0.5 + 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. -0.56 + 0.32y + -0.20y = -0.5 + 0.20y + -0.20y Combine like terms: 0.32y + -0.20y = 0.12y -0.56 + 0.12y = -0.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.56 + 0.12y = -0.5 + 0.00 -0.56 + 0.12y = -0.5 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.12y = -0.5 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.12y = -0.5 + 0.56 0.12y = -0.5 + 0.56 Combine like terms: -0.5 + 0.56 = 0.06 0.12y = 0.06 Divide each side by '0.12'. y = 0.5 Simplifying y = 0.5
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