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Simplifying -5(-6y + 6) + -9y = 6(y + -4) + -3 Reorder the terms: -5(6 + -6y) + -9y = 6(y + -4) + -3 (6 * -5 + -6y * -5) + -9y = 6(y + -4) + -3 (-30 + 30y) + -9y = 6(y + -4) + -3 Combine like terms: 30y + -9y = 21y -30 + 21y = 6(y + -4) + -3 Reorder the terms: -30 + 21y = 6(-4 + y) + -3 -30 + 21y = (-4 * 6 + y * 6) + -3 -30 + 21y = (-24 + 6y) + -3 Reorder the terms: -30 + 21y = -24 + -3 + 6y Combine like terms: -24 + -3 = -27 -30 + 21y = -27 + 6y Solving -30 + 21y = -27 + 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. -30 + 21y + -6y = -27 + 6y + -6y Combine like terms: 21y + -6y = 15y -30 + 15y = -27 + 6y + -6y Combine like terms: 6y + -6y = 0 -30 + 15y = -27 + 0 -30 + 15y = -27 Add '30' to each side of the equation. -30 + 30 + 15y = -27 + 30 Combine like terms: -30 + 30 = 0 0 + 15y = -27 + 30 15y = -27 + 30 Combine like terms: -27 + 30 = 3 15y = 3 Divide each side by '15'. y = 0.2 Simplifying y = 0.2
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