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Simplifying 3y + 2 + -4y + 3 = 2y + -7 + 7 + -2 Reorder the terms: 2 + 3 + 3y + -4y = 2y + -7 + 7 + -2 Combine like terms: 2 + 3 = 5 5 + 3y + -4y = 2y + -7 + 7 + -2 Combine like terms: 3y + -4y = -1y 5 + -1y = 2y + -7 + 7 + -2 Reorder the terms: 5 + -1y = -7 + 7 + -2 + 2y Combine like terms: -7 + 7 = 0 5 + -1y = 0 + -2 + 2y 5 + -1y = -2 + 2y Solving 5 + -1y = -2 + 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. 5 + -1y + -2y = -2 + 2y + -2y Combine like terms: -1y + -2y = -3y 5 + -3y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + -3y = -2 + 0 5 + -3y = -2 Add '-5' to each side of the equation. 5 + -5 + -3y = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = -2 + -5 -3y = -2 + -5 Combine like terms: -2 + -5 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333
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