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Simplifying -5(y + 33) + 3 = -47 Reorder the terms: -5(33 + y) + 3 = -47 (33 * -5 + y * -5) + 3 = -47 (-165 + -5y) + 3 = -47 Reorder the terms: -165 + 3 + -5y = -47 Combine like terms: -165 + 3 = -162 -162 + -5y = -47 Solving -162 + -5y = -47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '162' to each side of the equation. -162 + 162 + -5y = -47 + 162 Combine like terms: -162 + 162 = 0 0 + -5y = -47 + 162 -5y = -47 + 162 Combine like terms: -47 + 162 = 115 -5y = 115 Divide each side by '-5'. y = -23 Simplifying y = -23
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