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Simplifying 3(y + -5) = 8(y + 1) + 3 Reorder the terms: 3(-5 + y) = 8(y + 1) + 3 (-5 * 3 + y * 3) = 8(y + 1) + 3 (-15 + 3y) = 8(y + 1) + 3 Reorder the terms: -15 + 3y = 8(1 + y) + 3 -15 + 3y = (1 * 8 + y * 8) + 3 -15 + 3y = (8 + 8y) + 3 Reorder the terms: -15 + 3y = 8 + 3 + 8y Combine like terms: 8 + 3 = 11 -15 + 3y = 11 + 8y Solving -15 + 3y = 11 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -15 + 3y + -8y = 11 + 8y + -8y Combine like terms: 3y + -8y = -5y -15 + -5y = 11 + 8y + -8y Combine like terms: 8y + -8y = 0 -15 + -5y = 11 + 0 -15 + -5y = 11 Add '15' to each side of the equation. -15 + 15 + -5y = 11 + 15 Combine like terms: -15 + 15 = 0 0 + -5y = 11 + 15 -5y = 11 + 15 Combine like terms: 11 + 15 = 26 -5y = 26 Divide each side by '-5'. y = -5.2 Simplifying y = -5.2
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