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Simplifying 3y + 9 + -2y + 5 = 6y + -4y + 7 Reorder the terms: 9 + 5 + 3y + -2y = 6y + -4y + 7 Combine like terms: 9 + 5 = 14 14 + 3y + -2y = 6y + -4y + 7 Combine like terms: 3y + -2y = 1y 14 + 1y = 6y + -4y + 7 Reorder the terms: 14 + 1y = 7 + 6y + -4y Combine like terms: 6y + -4y = 2y 14 + 1y = 7 + 2y Solving 14 + 1y = 7 + 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. 14 + 1y + -2y = 7 + 2y + -2y Combine like terms: 1y + -2y = -1y 14 + -1y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + -1y = 7 + 0 14 + -1y = 7 Add '-14' to each side of the equation. 14 + -14 + -1y = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 7 + -14 -1y = 7 + -14 Combine like terms: 7 + -14 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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