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Simplifying 3y + -10 + y + 28 = 8y + 20 + -6 Reorder the terms: -10 + 28 + 3y + y = 8y + 20 + -6 Combine like terms: -10 + 28 = 18 18 + 3y + y = 8y + 20 + -6 Combine like terms: 3y + y = 4y 18 + 4y = 8y + 20 + -6 Reorder the terms: 18 + 4y = 20 + -6 + 8y Combine like terms: 20 + -6 = 14 18 + 4y = 14 + 8y Solving 18 + 4y = 14 + 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. 18 + 4y + -8y = 14 + 8y + -8y Combine like terms: 4y + -8y = -4y 18 + -4y = 14 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + -4y = 14 + 0 18 + -4y = 14 Add '-18' to each side of the equation. 18 + -18 + -4y = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -4y = 14 + -18 -4y = 14 + -18 Combine like terms: 14 + -18 = -4 -4y = -4 Divide each side by '-4'. y = 1 Simplifying y = 1
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