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Simplifying 5y + 16 = 3y + 6y + -12 Reorder the terms: 16 + 5y = 3y + 6y + -12 Reorder the terms: 16 + 5y = -12 + 3y + 6y Combine like terms: 3y + 6y = 9y 16 + 5y = -12 + 9y Solving 16 + 5y = -12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 16 + 5y + -9y = -12 + 9y + -9y Combine like terms: 5y + -9y = -4y 16 + -4y = -12 + 9y + -9y Combine like terms: 9y + -9y = 0 16 + -4y = -12 + 0 16 + -4y = -12 Add '-16' to each side of the equation. 16 + -16 + -4y = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4y = -12 + -16 -4y = -12 + -16 Combine like terms: -12 + -16 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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