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