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Simplifying 3(2y + -6) = 2(4y + 10) Reorder the terms: 3(-6 + 2y) = 2(4y + 10) (-6 * 3 + 2y * 3) = 2(4y + 10) (-18 + 6y) = 2(4y + 10) Reorder the terms: -18 + 6y = 2(10 + 4y) -18 + 6y = (10 * 2 + 4y * 2) -18 + 6y = (20 + 8y) Solving -18 + 6y = 20 + 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. -18 + 6y + -8y = 20 + 8y + -8y Combine like terms: 6y + -8y = -2y -18 + -2y = 20 + 8y + -8y Combine like terms: 8y + -8y = 0 -18 + -2y = 20 + 0 -18 + -2y = 20 Add '18' to each side of the equation. -18 + 18 + -2y = 20 + 18 Combine like terms: -18 + 18 = 0 0 + -2y = 20 + 18 -2y = 20 + 18 Combine like terms: 20 + 18 = 38 -2y = 38 Divide each side by '-2'. y = -19 Simplifying y = -19
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