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Simplifying 7 + -2(8y + 3) = 8 + -1(5 + -6y) Reorder the terms: 7 + -2(3 + 8y) = 8 + -1(5 + -6y) 7 + (3 * -2 + 8y * -2) = 8 + -1(5 + -6y) 7 + (-6 + -16y) = 8 + -1(5 + -6y) Combine like terms: 7 + -6 = 1 1 + -16y = 8 + -1(5 + -6y) 1 + -16y = 8 + (5 * -1 + -6y * -1) 1 + -16y = 8 + (-5 + 6y) Combine like terms: 8 + -5 = 3 1 + -16y = 3 + 6y Solving 1 + -16y = 3 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 1 + -16y + -6y = 3 + 6y + -6y Combine like terms: -16y + -6y = -22y 1 + -22y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 1 + -22y = 3 + 0 1 + -22y = 3 Add '-1' to each side of the equation. 1 + -1 + -22y = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -22y = 3 + -1 -22y = 3 + -1 Combine like terms: 3 + -1 = 2 -22y = 2 Divide each side by '-22'. y = -0.09090909091 Simplifying y = -0.09090909091
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