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Simplifying 122 + 8y = 2(5y + 6) + 2(4y + 5) Reorder the terms: 122 + 8y = 2(6 + 5y) + 2(4y + 5) 122 + 8y = (6 * 2 + 5y * 2) + 2(4y + 5) 122 + 8y = (12 + 10y) + 2(4y + 5) Reorder the terms: 122 + 8y = 12 + 10y + 2(5 + 4y) 122 + 8y = 12 + 10y + (5 * 2 + 4y * 2) 122 + 8y = 12 + 10y + (10 + 8y) Reorder the terms: 122 + 8y = 12 + 10 + 10y + 8y Combine like terms: 12 + 10 = 22 122 + 8y = 22 + 10y + 8y Combine like terms: 10y + 8y = 18y 122 + 8y = 22 + 18y Solving 122 + 8y = 22 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 122 + 8y + -18y = 22 + 18y + -18y Combine like terms: 8y + -18y = -10y 122 + -10y = 22 + 18y + -18y Combine like terms: 18y + -18y = 0 122 + -10y = 22 + 0 122 + -10y = 22 Add '-122' to each side of the equation. 122 + -122 + -10y = 22 + -122 Combine like terms: 122 + -122 = 0 0 + -10y = 22 + -122 -10y = 22 + -122 Combine like terms: 22 + -122 = -100 -10y = -100 Divide each side by '-10'. y = 10 Simplifying y = 10
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