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Simplifying 3y + 10.5 + -12y = 34.5 + 3y + 24 Reorder the terms: 10.5 + 3y + -12y = 34.5 + 3y + 24 Combine like terms: 3y + -12y = -9y 10.5 + -9y = 34.5 + 3y + 24 Reorder the terms: 10.5 + -9y = 34.5 + 24 + 3y Combine like terms: 34.5 + 24 = 58.5 10.5 + -9y = 58.5 + 3y Solving 10.5 + -9y = 58.5 + 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. 10.5 + -9y + -3y = 58.5 + 3y + -3y Combine like terms: -9y + -3y = -12y 10.5 + -12y = 58.5 + 3y + -3y Combine like terms: 3y + -3y = 0 10.5 + -12y = 58.5 + 0 10.5 + -12y = 58.5 Add '-10.5' to each side of the equation. 10.5 + -10.5 + -12y = 58.5 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -12y = 58.5 + -10.5 -12y = 58.5 + -10.5 Combine like terms: 58.5 + -10.5 = 48 -12y = 48 Divide each side by '-12'. y = -4 Simplifying y = -4
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