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Simplifying 7 + 10y + -6 = 4y + 17 + -2y Reorder the terms: 7 + -6 + 10y = 4y + 17 + -2y Combine like terms: 7 + -6 = 1 1 + 10y = 4y + 17 + -2y Reorder the terms: 1 + 10y = 17 + 4y + -2y Combine like terms: 4y + -2y = 2y 1 + 10y = 17 + 2y Solving 1 + 10y = 17 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 1 + 10y + -2y = 17 + 2y + -2y Combine like terms: 10y + -2y = 8y 1 + 8y = 17 + 2y + -2y Combine like terms: 2y + -2y = 0 1 + 8y = 17 + 0 1 + 8y = 17 Add '-1' to each side of the equation. 1 + -1 + 8y = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 8y = 17 + -1 8y = 17 + -1 Combine like terms: 17 + -1 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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