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Simplifying -5(-12y + 6) = -3(-15y + -15) Reorder the terms: -5(6 + -12y) = -3(-15y + -15) (6 * -5 + -12y * -5) = -3(-15y + -15) (-30 + 60y) = -3(-15y + -15) Reorder the terms: -30 + 60y = -3(-15 + -15y) -30 + 60y = (-15 * -3 + -15y * -3) -30 + 60y = (45 + 45y) Solving -30 + 60y = 45 + 45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45y' to each side of the equation. -30 + 60y + -45y = 45 + 45y + -45y Combine like terms: 60y + -45y = 15y -30 + 15y = 45 + 45y + -45y Combine like terms: 45y + -45y = 0 -30 + 15y = 45 + 0 -30 + 15y = 45 Add '30' to each side of the equation. -30 + 30 + 15y = 45 + 30 Combine like terms: -30 + 30 = 0 0 + 15y = 45 + 30 15y = 45 + 30 Combine like terms: 45 + 30 = 75 15y = 75 Divide each side by '15'. y = 5 Simplifying y = 5
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