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Simplifying 5 + 2y + 5(y + -3) = 6(y + 1) Reorder the terms: 5 + 2y + 5(-3 + y) = 6(y + 1) 5 + 2y + (-3 * 5 + y * 5) = 6(y + 1) 5 + 2y + (-15 + 5y) = 6(y + 1) Reorder the terms: 5 + -15 + 2y + 5y = 6(y + 1) Combine like terms: 5 + -15 = -10 -10 + 2y + 5y = 6(y + 1) Combine like terms: 2y + 5y = 7y -10 + 7y = 6(y + 1) Reorder the terms: -10 + 7y = 6(1 + y) -10 + 7y = (1 * 6 + y * 6) -10 + 7y = (6 + 6y) Solving -10 + 7y = 6 + 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. -10 + 7y + -6y = 6 + 6y + -6y Combine like terms: 7y + -6y = 1y -10 + 1y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 -10 + 1y = 6 + 0 -10 + 1y = 6 Add '10' to each side of the equation. -10 + 10 + 1y = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 6 + 10 1y = 6 + 10 Combine like terms: 6 + 10 = 16 1y = 16 Divide each side by '1'. y = 16 Simplifying y = 16
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