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Simplifying 4(y + -9) = 3(3y + -8) Reorder the terms: 4(-9 + y) = 3(3y + -8) (-9 * 4 + y * 4) = 3(3y + -8) (-36 + 4y) = 3(3y + -8) Reorder the terms: -36 + 4y = 3(-8 + 3y) -36 + 4y = (-8 * 3 + 3y * 3) -36 + 4y = (-24 + 9y) Solving -36 + 4y = -24 + 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. -36 + 4y + -9y = -24 + 9y + -9y Combine like terms: 4y + -9y = -5y -36 + -5y = -24 + 9y + -9y Combine like terms: 9y + -9y = 0 -36 + -5y = -24 + 0 -36 + -5y = -24 Add '36' to each side of the equation. -36 + 36 + -5y = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -5y = -24 + 36 -5y = -24 + 36 Combine like terms: -24 + 36 = 12 -5y = 12 Divide each side by '-5'. y = -2.4 Simplifying y = -2.4
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