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Simplifying 0.18(y + -3) + 0.08y = 0.14y + -0.05(30) Reorder the terms: 0.18(-3 + y) + 0.08y = 0.14y + -0.05(30) (-3 * 0.18 + y * 0.18) + 0.08y = 0.14y + -0.05(30) (-0.54 + 0.18y) + 0.08y = 0.14y + -0.05(30) Combine like terms: 0.18y + 0.08y = 0.26y -0.54 + 0.26y = 0.14y + -0.05(30) Multiply -0.05 * 30 -0.54 + 0.26y = 0.14y + -1.5 Reorder the terms: -0.54 + 0.26y = -1.5 + 0.14y Solving -0.54 + 0.26y = -1.5 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.54 + 0.26y + -0.14y = -1.5 + 0.14y + -0.14y Combine like terms: 0.26y + -0.14y = 0.12y -0.54 + 0.12y = -1.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.54 + 0.12y = -1.5 + 0.00 -0.54 + 0.12y = -1.5 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.12y = -1.5 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.12y = -1.5 + 0.54 0.12y = -1.5 + 0.54 Combine like terms: -1.5 + 0.54 = -0.96 0.12y = -0.96 Divide each side by '0.12'. y = -8 Simplifying y = -8
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