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Simplifying 0.20(y + -5) + 0.10y = 0.18y + -0.7 Reorder the terms: 0.20(-5 + y) + 0.10y = 0.18y + -0.7 (-5 * 0.20 + y * 0.20) + 0.10y = 0.18y + -0.7 (-1 + 0.20y) + 0.10y = 0.18y + -0.7 Combine like terms: 0.20y + 0.10y = 0.3y -1 + 0.3y = 0.18y + -0.7 Reorder the terms: -1 + 0.3y = -0.7 + 0.18y Solving -1 + 0.3y = -0.7 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -1 + 0.3y + -0.18y = -0.7 + 0.18y + -0.18y Combine like terms: 0.3y + -0.18y = 0.12y -1 + 0.12y = -0.7 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1 + 0.12y = -0.7 + 0.00 -1 + 0.12y = -0.7 Add '1' to each side of the equation. -1 + 1 + 0.12y = -0.7 + 1 Combine like terms: -1 + 1 = 0 0 + 0.12y = -0.7 + 1 0.12y = -0.7 + 1 Combine like terms: -0.7 + 1 = 0.3 0.12y = 0.3 Divide each side by '0.12'. y = 2.5 Simplifying y = 2.5
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