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Simplifying 4(2y + 1) = 3(2y + -6) Reorder the terms: 4(1 + 2y) = 3(2y + -6) (1 * 4 + 2y * 4) = 3(2y + -6) (4 + 8y) = 3(2y + -6) Reorder the terms: 4 + 8y = 3(-6 + 2y) 4 + 8y = (-6 * 3 + 2y * 3) 4 + 8y = (-18 + 6y) Solving 4 + 8y = -18 + 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. 4 + 8y + -6y = -18 + 6y + -6y Combine like terms: 8y + -6y = 2y 4 + 2y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + 2y = -18 + 0 4 + 2y = -18 Add '-4' to each side of the equation. 4 + -4 + 2y = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = -18 + -4 2y = -18 + -4 Combine like terms: -18 + -4 = -22 2y = -22 Divide each side by '2'. y = -11 Simplifying y = -11
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