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Simplifying 2y + 45 = 6y + 17 Reorder the terms: 45 + 2y = 6y + 17 Reorder the terms: 45 + 2y = 17 + 6y Solving 45 + 2y = 17 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 45 + 2y + -6y = 17 + 6y + -6y Combine like terms: 2y + -6y = -4y 45 + -4y = 17 + 6y + -6y Combine like terms: 6y + -6y = 0 45 + -4y = 17 + 0 45 + -4y = 17 Add '-45' to each side of the equation. 45 + -45 + -4y = 17 + -45 Combine like terms: 45 + -45 = 0 0 + -4y = 17 + -45 -4y = 17 + -45 Combine like terms: 17 + -45 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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