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Simplifying -5(3y + 4) + -4 = -9(y + 5) + 3y Reorder the terms: -5(4 + 3y) + -4 = -9(y + 5) + 3y (4 * -5 + 3y * -5) + -4 = -9(y + 5) + 3y (-20 + -15y) + -4 = -9(y + 5) + 3y Reorder the terms: -20 + -4 + -15y = -9(y + 5) + 3y Combine like terms: -20 + -4 = -24 -24 + -15y = -9(y + 5) + 3y Reorder the terms: -24 + -15y = -9(5 + y) + 3y -24 + -15y = (5 * -9 + y * -9) + 3y -24 + -15y = (-45 + -9y) + 3y Combine like terms: -9y + 3y = -6y -24 + -15y = -45 + -6y Solving -24 + -15y = -45 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -24 + -15y + 6y = -45 + -6y + 6y Combine like terms: -15y + 6y = -9y -24 + -9y = -45 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + -9y = -45 + 0 -24 + -9y = -45 Add '24' to each side of the equation. -24 + 24 + -9y = -45 + 24 Combine like terms: -24 + 24 = 0 0 + -9y = -45 + 24 -9y = -45 + 24 Combine like terms: -45 + 24 = -21 -9y = -21 Divide each side by '-9'. y = 2.333333333 Simplifying y = 2.333333333
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