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Simplifying 5y + -31 = 9(y + 1) Reorder the terms: -31 + 5y = 9(y + 1) Reorder the terms: -31 + 5y = 9(1 + y) -31 + 5y = (1 * 9 + y * 9) -31 + 5y = (9 + 9y) Solving -31 + 5y = 9 + 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. -31 + 5y + -9y = 9 + 9y + -9y Combine like terms: 5y + -9y = -4y -31 + -4y = 9 + 9y + -9y Combine like terms: 9y + -9y = 0 -31 + -4y = 9 + 0 -31 + -4y = 9 Add '31' to each side of the equation. -31 + 31 + -4y = 9 + 31 Combine like terms: -31 + 31 = 0 0 + -4y = 9 + 31 -4y = 9 + 31 Combine like terms: 9 + 31 = 40 -4y = 40 Divide each side by '-4'. y = -10 Simplifying y = -10
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