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Simplifying 6(y + -9) = 5y + -7 Reorder the terms: 6(-9 + y) = 5y + -7 (-9 * 6 + y * 6) = 5y + -7 (-54 + 6y) = 5y + -7 Reorder the terms: -54 + 6y = -7 + 5y Solving -54 + 6y = -7 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -54 + 6y + -5y = -7 + 5y + -5y Combine like terms: 6y + -5y = 1y -54 + 1y = -7 + 5y + -5y Combine like terms: 5y + -5y = 0 -54 + 1y = -7 + 0 -54 + 1y = -7 Add '54' to each side of the equation. -54 + 54 + 1y = -7 + 54 Combine like terms: -54 + 54 = 0 0 + 1y = -7 + 54 1y = -7 + 54 Combine like terms: -7 + 54 = 47 1y = 47 Divide each side by '1'. y = 47 Simplifying y = 47
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