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Simplifying 5(y + -3) = 9y + -47 Reorder the terms: 5(-3 + y) = 9y + -47 (-3 * 5 + y * 5) = 9y + -47 (-15 + 5y) = 9y + -47 Reorder the terms: -15 + 5y = -47 + 9y Solving -15 + 5y = -47 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -15 + 5y + -9y = -47 + 9y + -9y Combine like terms: 5y + -9y = -4y -15 + -4y = -47 + 9y + -9y Combine like terms: 9y + -9y = 0 -15 + -4y = -47 + 0 -15 + -4y = -47 Add '15' to each side of the equation. -15 + 15 + -4y = -47 + 15 Combine like terms: -15 + 15 = 0 0 + -4y = -47 + 15 -4y = -47 + 15 Combine like terms: -47 + 15 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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