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Simplifying 6 + 4(2y + 1) = 5 + -8y Reorder the terms: 6 + 4(1 + 2y) = 5 + -8y 6 + (1 * 4 + 2y * 4) = 5 + -8y 6 + (4 + 8y) = 5 + -8y Combine like terms: 6 + 4 = 10 10 + 8y = 5 + -8y Solving 10 + 8y = 5 + -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. 10 + 8y + 8y = 5 + -8y + 8y Combine like terms: 8y + 8y = 16y 10 + 16y = 5 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + 16y = 5 + 0 10 + 16y = 5 Add '-10' to each side of the equation. 10 + -10 + 16y = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 16y = 5 + -10 16y = 5 + -10 Combine like terms: 5 + -10 = -5 16y = -5 Divide each side by '16'. y = -0.3125 Simplifying y = -0.3125
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