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Simplifying 8y + -3 = 5(y + 6) Reorder the terms: -3 + 8y = 5(y + 6) Reorder the terms: -3 + 8y = 5(6 + y) -3 + 8y = (6 * 5 + y * 5) -3 + 8y = (30 + 5y) Solving -3 + 8y = 30 + 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. -3 + 8y + -5y = 30 + 5y + -5y Combine like terms: 8y + -5y = 3y -3 + 3y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + 3y = 30 + 0 -3 + 3y = 30 Add '3' to each side of the equation. -3 + 3 + 3y = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = 30 + 3 3y = 30 + 3 Combine like terms: 30 + 3 = 33 3y = 33 Divide each side by '3'. y = 11 Simplifying y = 11
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