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Simplifying 7(-3 + -8) + 24 = -3(y + -6) Combine like terms: -3 + -8 = -11 7(-11) + 24 = -3(y + -6) Multiply 7 * -11 -77 + 24 = -3(y + -6) Combine like terms: -77 + 24 = -53 -53 = -3(y + -6) Reorder the terms: -53 = -3(-6 + y) -53 = (-6 * -3 + y * -3) -53 = (18 + -3y) Solving -53 = 18 + -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. -53 + 3y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 -53 + 3y = 18 + 0 -53 + 3y = 18 Add '53' to each side of the equation. -53 + 53 + 3y = 18 + 53 Combine like terms: -53 + 53 = 0 0 + 3y = 18 + 53 3y = 18 + 53 Combine like terms: 18 + 53 = 71 3y = 71 Divide each side by '3'. y = 23.66666667 Simplifying y = 23.66666667
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