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Simplifying 0.20(y + -6) + 0.10y = 0.18y + -2.1 Reorder the terms: 0.20(-6 + y) + 0.10y = 0.18y + -2.1 (-6 * 0.20 + y * 0.20) + 0.10y = 0.18y + -2.1 (-1.2 + 0.20y) + 0.10y = 0.18y + -2.1 Combine like terms: 0.20y + 0.10y = 0.3y -1.2 + 0.3y = 0.18y + -2.1 Reorder the terms: -1.2 + 0.3y = -2.1 + 0.18y Solving -1.2 + 0.3y = -2.1 + 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. -1.2 + 0.3y + -0.18y = -2.1 + 0.18y + -0.18y Combine like terms: 0.3y + -0.18y = 0.12y -1.2 + 0.12y = -2.1 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.2 + 0.12y = -2.1 + 0.00 -1.2 + 0.12y = -2.1 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.12y = -2.1 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.12y = -2.1 + 1.2 0.12y = -2.1 + 1.2 Combine like terms: -2.1 + 1.2 = -0.9 0.12y = -0.9 Divide each side by '0.12'. y = -7.5 Simplifying y = -7.5
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