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Simplifying 3(2y + -5) = 2(4y + -3) + -21 Reorder the terms: 3(-5 + 2y) = 2(4y + -3) + -21 (-5 * 3 + 2y * 3) = 2(4y + -3) + -21 (-15 + 6y) = 2(4y + -3) + -21 Reorder the terms: -15 + 6y = 2(-3 + 4y) + -21 -15 + 6y = (-3 * 2 + 4y * 2) + -21 -15 + 6y = (-6 + 8y) + -21 Reorder the terms: -15 + 6y = -6 + -21 + 8y Combine like terms: -6 + -21 = -27 -15 + 6y = -27 + 8y Solving -15 + 6y = -27 + 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 + 6y + -8y = -27 + 8y + -8y Combine like terms: 6y + -8y = -2y -15 + -2y = -27 + 8y + -8y Combine like terms: 8y + -8y = 0 -15 + -2y = -27 + 0 -15 + -2y = -27 Add '15' to each side of the equation. -15 + 15 + -2y = -27 + 15 Combine like terms: -15 + 15 = 0 0 + -2y = -27 + 15 -2y = -27 + 15 Combine like terms: -27 + 15 = -12 -2y = -12 Divide each side by '-2'. y = 6 Simplifying y = 6
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