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Simplifying 4y + 6 = 8(1 + y) Reorder the terms: 6 + 4y = 8(1 + y) 6 + 4y = (1 * 8 + y * 8) 6 + 4y = (8 + 8y) Solving 6 + 4y = 8 + 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. 6 + 4y + -8y = 8 + 8y + -8y Combine like terms: 4y + -8y = -4y 6 + -4y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 6 + -4y = 8 + 0 6 + -4y = 8 Add '-6' to each side of the equation. 6 + -6 + -4y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -4y = 8 + -6 -4y = 8 + -6 Combine like terms: 8 + -6 = 2 -4y = 2 Divide each side by '-4'. y = -0.5 Simplifying y = -0.5
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