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Simplifying 4(2y + 1) = 2(1y + -13) Reorder the terms: 4(1 + 2y) = 2(1y + -13) (1 * 4 + 2y * 4) = 2(1y + -13) (4 + 8y) = 2(1y + -13) Reorder the terms: 4 + 8y = 2(-13 + 1y) 4 + 8y = (-13 * 2 + 1y * 2) 4 + 8y = (-26 + 2y) Solving 4 + 8y = -26 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 4 + 8y + -2y = -26 + 2y + -2y Combine like terms: 8y + -2y = 6y 4 + 6y = -26 + 2y + -2y Combine like terms: 2y + -2y = 0 4 + 6y = -26 + 0 4 + 6y = -26 Add '-4' to each side of the equation. 4 + -4 + 6y = -26 + -4 Combine like terms: 4 + -4 = 0 0 + 6y = -26 + -4 6y = -26 + -4 Combine like terms: -26 + -4 = -30 6y = -30 Divide each side by '6'. y = -5 Simplifying y = -5
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