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Simplifying -5 + 10y + 8 = 15 + 12y + -24 Reorder the terms: -5 + 8 + 10y = 15 + 12y + -24 Combine like terms: -5 + 8 = 3 3 + 10y = 15 + 12y + -24 Reorder the terms: 3 + 10y = 15 + -24 + 12y Combine like terms: 15 + -24 = -9 3 + 10y = -9 + 12y Solving 3 + 10y = -9 + 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. 3 + 10y + -12y = -9 + 12y + -12y Combine like terms: 10y + -12y = -2y 3 + -2y = -9 + 12y + -12y Combine like terms: 12y + -12y = 0 3 + -2y = -9 + 0 3 + -2y = -9 Add '-3' to each side of the equation. 3 + -3 + -2y = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = -9 + -3 -2y = -9 + -3 Combine like terms: -9 + -3 = -12 -2y = -12 Divide each side by '-2'. y = 6 Simplifying y = 6
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