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Simplifying 3(8y + -10) = 6(3 + 2y) Reorder the terms: 3(-10 + 8y) = 6(3 + 2y) (-10 * 3 + 8y * 3) = 6(3 + 2y) (-30 + 24y) = 6(3 + 2y) -30 + 24y = (3 * 6 + 2y * 6) -30 + 24y = (18 + 12y) Solving -30 + 24y = 18 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -30 + 24y + -12y = 18 + 12y + -12y Combine like terms: 24y + -12y = 12y -30 + 12y = 18 + 12y + -12y Combine like terms: 12y + -12y = 0 -30 + 12y = 18 + 0 -30 + 12y = 18 Add '30' to each side of the equation. -30 + 30 + 12y = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 12y = 18 + 30 12y = 18 + 30 Combine like terms: 18 + 30 = 48 12y = 48 Divide each side by '12'. y = 4 Simplifying y = 4
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