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Simplifying 12y + 45 = 3y + 5 Reorder the terms: 45 + 12y = 3y + 5 Reorder the terms: 45 + 12y = 5 + 3y Solving 45 + 12y = 5 + 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. 45 + 12y + -3y = 5 + 3y + -3y Combine like terms: 12y + -3y = 9y 45 + 9y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 45 + 9y = 5 + 0 45 + 9y = 5 Add '-45' to each side of the equation. 45 + -45 + 9y = 5 + -45 Combine like terms: 45 + -45 = 0 0 + 9y = 5 + -45 9y = 5 + -45 Combine like terms: 5 + -45 = -40 9y = -40 Divide each side by '9'. y = -4.444444444 Simplifying y = -4.444444444
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