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Simplifying 12y + 15 = -3(4y + -5) Reorder the terms: 15 + 12y = -3(4y + -5) Reorder the terms: 15 + 12y = -3(-5 + 4y) 15 + 12y = (-5 * -3 + 4y * -3) 15 + 12y = (15 + -12y) Add '-15' to each side of the equation. 15 + -15 + 12y = 15 + -15 + -12y Combine like terms: 15 + -15 = 0 0 + 12y = 15 + -15 + -12y 12y = 15 + -15 + -12y Combine like terms: 15 + -15 = 0 12y = 0 + -12y 12y = -12y Solving 12y = -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 12y + 12y = -12y + 12y Combine like terms: 12y + 12y = 24y 24y = -12y + 12y Combine like terms: -12y + 12y = 0 24y = 0 Divide each side by '24'. y = 0 Simplifying y = 0
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