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Simplifying -8.54 + -1.5y = 3.4(y + 2.1) Reorder the terms: -8.54 + -1.5y = 3.4(2.1 + y) -8.54 + -1.5y = (2.1 * 3.4 + y * 3.4) -8.54 + -1.5y = (7.14 + 3.4y) Solving -8.54 + -1.5y = 7.14 + 3.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.4y' to each side of the equation. -8.54 + -1.5y + -3.4y = 7.14 + 3.4y + -3.4y Combine like terms: -1.5y + -3.4y = -4.9y -8.54 + -4.9y = 7.14 + 3.4y + -3.4y Combine like terms: 3.4y + -3.4y = 0.0 -8.54 + -4.9y = 7.14 + 0.0 -8.54 + -4.9y = 7.14 Add '8.54' to each side of the equation. -8.54 + 8.54 + -4.9y = 7.14 + 8.54 Combine like terms: -8.54 + 8.54 = 0.00 0.00 + -4.9y = 7.14 + 8.54 -4.9y = 7.14 + 8.54 Combine like terms: 7.14 + 8.54 = 15.68 -4.9y = 15.68 Divide each side by '-4.9'. y = -3.2 Simplifying y = -3.2
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