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Simplifying 3 + -1(y + -4) + 5y = -1(6 + -1y) + -23 Reorder the terms: 3 + -1(-4 + y) + 5y = -1(6 + -1y) + -23 3 + (-4 * -1 + y * -1) + 5y = -1(6 + -1y) + -23 3 + (4 + -1y) + 5y = -1(6 + -1y) + -23 Combine like terms: 3 + 4 = 7 7 + -1y + 5y = -1(6 + -1y) + -23 Combine like terms: -1y + 5y = 4y 7 + 4y = -1(6 + -1y) + -23 7 + 4y = (6 * -1 + -1y * -1) + -23 7 + 4y = (-6 + 1y) + -23 Reorder the terms: 7 + 4y = -6 + -23 + 1y Combine like terms: -6 + -23 = -29 7 + 4y = -29 + 1y Solving 7 + 4y = -29 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 7 + 4y + -1y = -29 + 1y + -1y Combine like terms: 4y + -1y = 3y 7 + 3y = -29 + 1y + -1y Combine like terms: 1y + -1y = 0 7 + 3y = -29 + 0 7 + 3y = -29 Add '-7' to each side of the equation. 7 + -7 + 3y = -29 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = -29 + -7 3y = -29 + -7 Combine like terms: -29 + -7 = -36 3y = -36 Divide each side by '3'. y = -12 Simplifying y = -12
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