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Simplifying 1 + -3(8 + -5y) = 75 + -4(3y + 11) 1 + (8 * -3 + -5y * -3) = 75 + -4(3y + 11) 1 + (-24 + 15y) = 75 + -4(3y + 11) Combine like terms: 1 + -24 = -23 -23 + 15y = 75 + -4(3y + 11) Reorder the terms: -23 + 15y = 75 + -4(11 + 3y) -23 + 15y = 75 + (11 * -4 + 3y * -4) -23 + 15y = 75 + (-44 + -12y) Combine like terms: 75 + -44 = 31 -23 + 15y = 31 + -12y Solving -23 + 15y = 31 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -23 + 15y + 12y = 31 + -12y + 12y Combine like terms: 15y + 12y = 27y -23 + 27y = 31 + -12y + 12y Combine like terms: -12y + 12y = 0 -23 + 27y = 31 + 0 -23 + 27y = 31 Add '23' to each side of the equation. -23 + 23 + 27y = 31 + 23 Combine like terms: -23 + 23 = 0 0 + 27y = 31 + 23 27y = 31 + 23 Combine like terms: 31 + 23 = 54 27y = 54 Divide each side by '27'. y = 2 Simplifying y = 2
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