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Simplifying 8(y + -2) = 5(y + 3) Reorder the terms: 8(-2 + y) = 5(y + 3) (-2 * 8 + y * 8) = 5(y + 3) (-16 + 8y) = 5(y + 3) Reorder the terms: -16 + 8y = 5(3 + y) -16 + 8y = (3 * 5 + y * 5) -16 + 8y = (15 + 5y) Solving -16 + 8y = 15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -16 + 8y + -5y = 15 + 5y + -5y Combine like terms: 8y + -5y = 3y -16 + 3y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 -16 + 3y = 15 + 0 -16 + 3y = 15 Add '16' to each side of the equation. -16 + 16 + 3y = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 3y = 15 + 16 3y = 15 + 16 Combine like terms: 15 + 16 = 31 3y = 31 Divide each side by '3'. y = 10.33333333 Simplifying y = 10.33333333
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