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