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Simplifying 5y + 3(y + -5) = 6(y + 1) + -2 Reorder the terms: 5y + 3(-5 + y) = 6(y + 1) + -2 5y + (-5 * 3 + y * 3) = 6(y + 1) + -2 5y + (-15 + 3y) = 6(y + 1) + -2 Reorder the terms: -15 + 5y + 3y = 6(y + 1) + -2 Combine like terms: 5y + 3y = 8y -15 + 8y = 6(y + 1) + -2 Reorder the terms: -15 + 8y = 6(1 + y) + -2 -15 + 8y = (1 * 6 + y * 6) + -2 -15 + 8y = (6 + 6y) + -2 Reorder the terms: -15 + 8y = 6 + -2 + 6y Combine like terms: 6 + -2 = 4 -15 + 8y = 4 + 6y Solving -15 + 8y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -15 + 8y + -6y = 4 + 6y + -6y Combine like terms: 8y + -6y = 2y -15 + 2y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -15 + 2y = 4 + 0 -15 + 2y = 4 Add '15' to each side of the equation. -15 + 15 + 2y = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = 4 + 15 2y = 4 + 15 Combine like terms: 4 + 15 = 19 2y = 19 Divide each side by '2'. y = 9.5 Simplifying y = 9.5
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