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Simplifying 0.10(y + -5) + 0.20y = 0.18y + -0.07(20) Reorder the terms: 0.10(-5 + y) + 0.20y = 0.18y + -0.07(20) (-5 * 0.10 + y * 0.10) + 0.20y = 0.18y + -0.07(20) (-0.5 + 0.10y) + 0.20y = 0.18y + -0.07(20) Combine like terms: 0.10y + 0.20y = 0.3y -0.5 + 0.3y = 0.18y + -0.07(20) Multiply -0.07 * 20 -0.5 + 0.3y = 0.18y + -1.4 Reorder the terms: -0.5 + 0.3y = -1.4 + 0.18y Solving -0.5 + 0.3y = -1.4 + 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. -0.5 + 0.3y + -0.18y = -1.4 + 0.18y + -0.18y Combine like terms: 0.3y + -0.18y = 0.12y -0.5 + 0.12y = -1.4 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.5 + 0.12y = -1.4 + 0.00 -0.5 + 0.12y = -1.4 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.12y = -1.4 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.12y = -1.4 + 0.5 0.12y = -1.4 + 0.5 Combine like terms: -1.4 + 0.5 = -0.9 0.12y = -0.9 Divide each side by '0.12'. y = -7.5 Simplifying y = -7.5
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