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Simplifying -3 + 10y + 6 = 15 + 12y + -8 Reorder the terms: -3 + 6 + 10y = 15 + 12y + -8 Combine like terms: -3 + 6 = 3 3 + 10y = 15 + 12y + -8 Reorder the terms: 3 + 10y = 15 + -8 + 12y Combine like terms: 15 + -8 = 7 3 + 10y = 7 + 12y Solving 3 + 10y = 7 + 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 = 7 + 12y + -12y Combine like terms: 10y + -12y = -2y 3 + -2y = 7 + 12y + -12y Combine like terms: 12y + -12y = 0 3 + -2y = 7 + 0 3 + -2y = 7 Add '-3' to each side of the equation. 3 + -3 + -2y = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 7 + -3 -2y = 7 + -3 Combine like terms: 7 + -3 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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