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Simplifying 6y + -3 + 4y + 12 = 12y + -4 + -10y + 5 Reorder the terms: -3 + 12 + 6y + 4y = 12y + -4 + -10y + 5 Combine like terms: -3 + 12 = 9 9 + 6y + 4y = 12y + -4 + -10y + 5 Combine like terms: 6y + 4y = 10y 9 + 10y = 12y + -4 + -10y + 5 Reorder the terms: 9 + 10y = -4 + 5 + 12y + -10y Combine like terms: -4 + 5 = 1 9 + 10y = 1 + 12y + -10y Combine like terms: 12y + -10y = 2y 9 + 10y = 1 + 2y Solving 9 + 10y = 1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 9 + 10y + -2y = 1 + 2y + -2y Combine like terms: 10y + -2y = 8y 9 + 8y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 8y = 1 + 0 9 + 8y = 1 Add '-9' to each side of the equation. 9 + -9 + 8y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 8y = 1 + -9 8y = 1 + -9 Combine like terms: 1 + -9 = -8 8y = -8 Divide each side by '8'. y = -1 Simplifying y = -1
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