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Simplifying 45 = 12y + 8 + -10y + 3 Reorder the terms: 45 = 8 + 3 + 12y + -10y Combine like terms: 8 + 3 = 11 45 = 11 + 12y + -10y Combine like terms: 12y + -10y = 2y 45 = 11 + 2y Solving 45 = 11 + 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. 45 + -2y = 11 + 2y + -2y Combine like terms: 2y + -2y = 0 45 + -2y = 11 + 0 45 + -2y = 11 Add '-45' to each side of the equation. 45 + -45 + -2y = 11 + -45 Combine like terms: 45 + -45 = 0 0 + -2y = 11 + -45 -2y = 11 + -45 Combine like terms: 11 + -45 = -34 -2y = -34 Divide each side by '-2'. y = 17 Simplifying y = 17
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