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Simplifying 12 + -3y + 9 + 9y + -12 = 4y + 9 + 12y + -16 + -12 Reorder the terms: 12 + 9 + -12 + -3y + 9y = 4y + 9 + 12y + -16 + -12 Combine like terms: 12 + 9 = 21 21 + -12 + -3y + 9y = 4y + 9 + 12y + -16 + -12 Combine like terms: 21 + -12 = 9 9 + -3y + 9y = 4y + 9 + 12y + -16 + -12 Combine like terms: -3y + 9y = 6y 9 + 6y = 4y + 9 + 12y + -16 + -12 Reorder the terms: 9 + 6y = 9 + -16 + -12 + 4y + 12y Combine like terms: 9 + -16 = -7 9 + 6y = -7 + -12 + 4y + 12y Combine like terms: -7 + -12 = -19 9 + 6y = -19 + 4y + 12y Combine like terms: 4y + 12y = 16y 9 + 6y = -19 + 16y Solving 9 + 6y = -19 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 9 + 6y + -16y = -19 + 16y + -16y Combine like terms: 6y + -16y = -10y 9 + -10y = -19 + 16y + -16y Combine like terms: 16y + -16y = 0 9 + -10y = -19 + 0 9 + -10y = -19 Add '-9' to each side of the equation. 9 + -9 + -10y = -19 + -9 Combine like terms: 9 + -9 = 0 0 + -10y = -19 + -9 -10y = -19 + -9 Combine like terms: -19 + -9 = -28 -10y = -28 Divide each side by '-10'. y = 2.8 Simplifying y = 2.8
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