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Simplifying 5(y + -4) + -4 = -6(-5y + 3) + -9y Reorder the terms: 5(-4 + y) + -4 = -6(-5y + 3) + -9y (-4 * 5 + y * 5) + -4 = -6(-5y + 3) + -9y (-20 + 5y) + -4 = -6(-5y + 3) + -9y Reorder the terms: -20 + -4 + 5y = -6(-5y + 3) + -9y Combine like terms: -20 + -4 = -24 -24 + 5y = -6(-5y + 3) + -9y Reorder the terms: -24 + 5y = -6(3 + -5y) + -9y -24 + 5y = (3 * -6 + -5y * -6) + -9y -24 + 5y = (-18 + 30y) + -9y Combine like terms: 30y + -9y = 21y -24 + 5y = -18 + 21y Solving -24 + 5y = -18 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -24 + 5y + -21y = -18 + 21y + -21y Combine like terms: 5y + -21y = -16y -24 + -16y = -18 + 21y + -21y Combine like terms: 21y + -21y = 0 -24 + -16y = -18 + 0 -24 + -16y = -18 Add '24' to each side of the equation. -24 + 24 + -16y = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -16y = -18 + 24 -16y = -18 + 24 Combine like terms: -18 + 24 = 6 -16y = 6 Divide each side by '-16'. y = -0.375 Simplifying y = -0.375
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