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Simplifying 4 + -1(5y + 7) = 3(8 + -1y) Reorder the terms: 4 + -1(7 + 5y) = 3(8 + -1y) 4 + (7 * -1 + 5y * -1) = 3(8 + -1y) 4 + (-7 + -5y) = 3(8 + -1y) Combine like terms: 4 + -7 = -3 -3 + -5y = 3(8 + -1y) -3 + -5y = (8 * 3 + -1y * 3) -3 + -5y = (24 + -3y) Solving -3 + -5y = 24 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -3 + -5y + 3y = 24 + -3y + 3y Combine like terms: -5y + 3y = -2y -3 + -2y = 24 + -3y + 3y Combine like terms: -3y + 3y = 0 -3 + -2y = 24 + 0 -3 + -2y = 24 Add '3' to each side of the equation. -3 + 3 + -2y = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 24 + 3 -2y = 24 + 3 Combine like terms: 24 + 3 = 27 -2y = 27 Divide each side by '-2'. y = -13.5 Simplifying y = -13.5
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