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Simplifying 3(5y + -2) = 6(5y + 4) Reorder the terms: 3(-2 + 5y) = 6(5y + 4) (-2 * 3 + 5y * 3) = 6(5y + 4) (-6 + 15y) = 6(5y + 4) Reorder the terms: -6 + 15y = 6(4 + 5y) -6 + 15y = (4 * 6 + 5y * 6) -6 + 15y = (24 + 30y) Solving -6 + 15y = 24 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -6 + 15y + -30y = 24 + 30y + -30y Combine like terms: 15y + -30y = -15y -6 + -15y = 24 + 30y + -30y Combine like terms: 30y + -30y = 0 -6 + -15y = 24 + 0 -6 + -15y = 24 Add '6' to each side of the equation. -6 + 6 + -15y = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -15y = 24 + 6 -15y = 24 + 6 Combine like terms: 24 + 6 = 30 -15y = 30 Divide each side by '-15'. y = -2 Simplifying y = -2
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