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Simplifying 3y + 2 + -4y + 3 = 2y + -7 + y + -2 Reorder the terms: 2 + 3 + 3y + -4y = 2y + -7 + y + -2 Combine like terms: 2 + 3 = 5 5 + 3y + -4y = 2y + -7 + y + -2 Combine like terms: 3y + -4y = -1y 5 + -1y = 2y + -7 + y + -2 Reorder the terms: 5 + -1y = -7 + -2 + 2y + y Combine like terms: -7 + -2 = -9 5 + -1y = -9 + 2y + y Combine like terms: 2y + y = 3y 5 + -1y = -9 + 3y Solving 5 + -1y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 5 + -1y + -3y = -9 + 3y + -3y Combine like terms: -1y + -3y = -4y 5 + -4y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + -4y = -9 + 0 5 + -4y = -9 Add '-5' to each side of the equation. 5 + -5 + -4y = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = -9 + -5 -4y = -9 + -5 Combine like terms: -9 + -5 = -14 -4y = -14 Divide each side by '-4'. y = 3.5 Simplifying y = 3.5
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