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Simplifying 12y + -15 = 6y + -1(3y + 12) + 24 Reorder the terms: -15 + 12y = 6y + -1(3y + 12) + 24 Reorder the terms: -15 + 12y = 6y + -1(12 + 3y) + 24 -15 + 12y = 6y + (12 * -1 + 3y * -1) + 24 -15 + 12y = 6y + (-12 + -3y) + 24 Reorder the terms: -15 + 12y = -12 + 24 + 6y + -3y Combine like terms: -12 + 24 = 12 -15 + 12y = 12 + 6y + -3y Combine like terms: 6y + -3y = 3y -15 + 12y = 12 + 3y Solving -15 + 12y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -15 + 12y + -3y = 12 + 3y + -3y Combine like terms: 12y + -3y = 9y -15 + 9y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 9y = 12 + 0 -15 + 9y = 12 Add '15' to each side of the equation. -15 + 15 + 9y = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 9y = 12 + 15 9y = 12 + 15 Combine like terms: 12 + 15 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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