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Simplifying 8y + -6 = 2(2y + 5) Reorder the terms: -6 + 8y = 2(2y + 5) Reorder the terms: -6 + 8y = 2(5 + 2y) -6 + 8y = (5 * 2 + 2y * 2) -6 + 8y = (10 + 4y) Solving -6 + 8y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -6 + 8y + -4y = 10 + 4y + -4y Combine like terms: 8y + -4y = 4y -6 + 4y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 4y = 10 + 0 -6 + 4y = 10 Add '6' to each side of the equation. -6 + 6 + 4y = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = 10 + 6 4y = 10 + 6 Combine like terms: 10 + 6 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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