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Simplifying 12 + -19 = 5y + 9 + -4y Combine like terms: 12 + -19 = -7 -7 = 5y + 9 + -4y Reorder the terms: -7 = 9 + 5y + -4y Combine like terms: 5y + -4y = 1y -7 = 9 + 1y Solving -7 = 9 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -7 + -1y = 9 + 1y + -1y Combine like terms: 1y + -1y = 0 -7 + -1y = 9 + 0 -7 + -1y = 9 Add '7' to each side of the equation. -7 + 7 + -1y = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 9 + 7 -1y = 9 + 7 Combine like terms: 9 + 7 = 16 -1y = 16 Divide each side by '-1'. y = -16 Simplifying y = -16
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