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Simplifying 3(2y + -5) + -4y + 2 = 11 Reorder the terms: 3(-5 + 2y) + -4y + 2 = 11 (-5 * 3 + 2y * 3) + -4y + 2 = 11 (-15 + 6y) + -4y + 2 = 11 Reorder the terms: -15 + 2 + 6y + -4y = 11 Combine like terms: -15 + 2 = -13 -13 + 6y + -4y = 11 Combine like terms: 6y + -4y = 2y -13 + 2y = 11 Solving -13 + 2y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2y = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 11 + 13 2y = 11 + 13 Combine like terms: 11 + 13 = 24 2y = 24 Divide each side by '2'. y = 12 Simplifying y = 12
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