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