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Simplifying 9(y + -4) = -10(y + 21) Reorder the terms: 9(-4 + y) = -10(y + 21) (-4 * 9 + y * 9) = -10(y + 21) (-36 + 9y) = -10(y + 21) Reorder the terms: -36 + 9y = -10(21 + y) -36 + 9y = (21 * -10 + y * -10) -36 + 9y = (-210 + -10y) Solving -36 + 9y = -210 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -36 + 9y + 10y = -210 + -10y + 10y Combine like terms: 9y + 10y = 19y -36 + 19y = -210 + -10y + 10y Combine like terms: -10y + 10y = 0 -36 + 19y = -210 + 0 -36 + 19y = -210 Add '36' to each side of the equation. -36 + 36 + 19y = -210 + 36 Combine like terms: -36 + 36 = 0 0 + 19y = -210 + 36 19y = -210 + 36 Combine like terms: -210 + 36 = -174 19y = -174 Divide each side by '19'. y = -9.157894737 Simplifying y = -9.157894737
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