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Simplifying 4y + 10 + -7 = 4y + -2y + 17 Reorder the terms: 10 + -7 + 4y = 4y + -2y + 17 Combine like terms: 10 + -7 = 3 3 + 4y = 4y + -2y + 17 Reorder the terms: 3 + 4y = 17 + 4y + -2y Combine like terms: 4y + -2y = 2y 3 + 4y = 17 + 2y Solving 3 + 4y = 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. 3 + 4y + -2y = 17 + 2y + -2y Combine like terms: 4y + -2y = 2y 3 + 2y = 17 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + 2y = 17 + 0 3 + 2y = 17 Add '-3' to each side of the equation. 3 + -3 + 2y = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 17 + -3 2y = 17 + -3 Combine like terms: 17 + -3 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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