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Simplifying 6(5y + -2) = 3(2y + 1) + -3 Reorder the terms: 6(-2 + 5y) = 3(2y + 1) + -3 (-2 * 6 + 5y * 6) = 3(2y + 1) + -3 (-12 + 30y) = 3(2y + 1) + -3 Reorder the terms: -12 + 30y = 3(1 + 2y) + -3 -12 + 30y = (1 * 3 + 2y * 3) + -3 -12 + 30y = (3 + 6y) + -3 Reorder the terms: -12 + 30y = 3 + -3 + 6y Combine like terms: 3 + -3 = 0 -12 + 30y = 0 + 6y -12 + 30y = 6y Solving -12 + 30y = 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. -12 + 30y + -6y = 6y + -6y Combine like terms: 30y + -6y = 24y -12 + 24y = 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 24y = 0 Add '12' to each side of the equation. -12 + 12 + 24y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 24y = 0 + 12 24y = 0 + 12 Combine like terms: 0 + 12 = 12 24y = 12 Divide each side by '24'. y = 0.5 Simplifying y = 0.5
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