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