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Simplifying 4y + 32 + -3y + 15 = 3y + 1 Reorder the terms: 32 + 15 + 4y + -3y = 3y + 1 Combine like terms: 32 + 15 = 47 47 + 4y + -3y = 3y + 1 Combine like terms: 4y + -3y = 1y 47 + 1y = 3y + 1 Reorder the terms: 47 + 1y = 1 + 3y Solving 47 + 1y = 1 + 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. 47 + 1y + -3y = 1 + 3y + -3y Combine like terms: 1y + -3y = -2y 47 + -2y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 47 + -2y = 1 + 0 47 + -2y = 1 Add '-47' to each side of the equation. 47 + -47 + -2y = 1 + -47 Combine like terms: 47 + -47 = 0 0 + -2y = 1 + -47 -2y = 1 + -47 Combine like terms: 1 + -47 = -46 -2y = -46 Divide each side by '-2'. y = 23 Simplifying y = 23
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