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Simplifying 4 + -1(3y + -5) = 6 + -1(2y + 7) Reorder the terms: 4 + -1(-5 + 3y) = 6 + -1(2y + 7) 4 + (-5 * -1 + 3y * -1) = 6 + -1(2y + 7) 4 + (5 + -3y) = 6 + -1(2y + 7) Combine like terms: 4 + 5 = 9 9 + -3y = 6 + -1(2y + 7) Reorder the terms: 9 + -3y = 6 + -1(7 + 2y) 9 + -3y = 6 + (7 * -1 + 2y * -1) 9 + -3y = 6 + (-7 + -2y) Combine like terms: 6 + -7 = -1 9 + -3y = -1 + -2y Solving 9 + -3y = -1 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 9 + -3y + 2y = -1 + -2y + 2y Combine like terms: -3y + 2y = -1y 9 + -1y = -1 + -2y + 2y Combine like terms: -2y + 2y = 0 9 + -1y = -1 + 0 9 + -1y = -1 Add '-9' to each side of the equation. 9 + -9 + -1y = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = -1 + -9 -1y = -1 + -9 Combine like terms: -1 + -9 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10
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