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Simplifying 3(y + -5) + -9 = -5(-5y + 4) + -6y Reorder the terms: 3(-5 + y) + -9 = -5(-5y + 4) + -6y (-5 * 3 + y * 3) + -9 = -5(-5y + 4) + -6y (-15 + 3y) + -9 = -5(-5y + 4) + -6y Reorder the terms: -15 + -9 + 3y = -5(-5y + 4) + -6y Combine like terms: -15 + -9 = -24 -24 + 3y = -5(-5y + 4) + -6y Reorder the terms: -24 + 3y = -5(4 + -5y) + -6y -24 + 3y = (4 * -5 + -5y * -5) + -6y -24 + 3y = (-20 + 25y) + -6y Combine like terms: 25y + -6y = 19y -24 + 3y = -20 + 19y Solving -24 + 3y = -20 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -24 + 3y + -19y = -20 + 19y + -19y Combine like terms: 3y + -19y = -16y -24 + -16y = -20 + 19y + -19y Combine like terms: 19y + -19y = 0 -24 + -16y = -20 + 0 -24 + -16y = -20 Add '24' to each side of the equation. -24 + 24 + -16y = -20 + 24 Combine like terms: -24 + 24 = 0 0 + -16y = -20 + 24 -16y = -20 + 24 Combine like terms: -20 + 24 = 4 -16y = 4 Divide each side by '-16'. y = -0.25 Simplifying y = -0.25
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