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Simplifying 7(y + 7.7) = 8(8.8 + -1y) Reorder the terms: 7(7.7 + y) = 8(8.8 + -1y) (7.7 * 7 + y * 7) = 8(8.8 + -1y) (53.9 + 7y) = 8(8.8 + -1y) 53.9 + 7y = (8.8 * 8 + -1y * 8) 53.9 + 7y = (70.4 + -8y) Solving 53.9 + 7y = 70.4 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 53.9 + 7y + 8y = 70.4 + -8y + 8y Combine like terms: 7y + 8y = 15y 53.9 + 15y = 70.4 + -8y + 8y Combine like terms: -8y + 8y = 0 53.9 + 15y = 70.4 + 0 53.9 + 15y = 70.4 Add '-53.9' to each side of the equation. 53.9 + -53.9 + 15y = 70.4 + -53.9 Combine like terms: 53.9 + -53.9 = 0.0 0.0 + 15y = 70.4 + -53.9 15y = 70.4 + -53.9 Combine like terms: 70.4 + -53.9 = 16.5 15y = 16.5 Divide each side by '15'. y = 1.1 Simplifying y = 1.1
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