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Simplifying 2y + -1y + 12 = 5y + 19 Reorder the terms: 12 + 2y + -1y = 5y + 19 Combine like terms: 2y + -1y = 1y 12 + 1y = 5y + 19 Reorder the terms: 12 + 1y = 19 + 5y Solving 12 + 1y = 19 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 12 + 1y + -5y = 19 + 5y + -5y Combine like terms: 1y + -5y = -4y 12 + -4y = 19 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + -4y = 19 + 0 12 + -4y = 19 Add '-12' to each side of the equation. 12 + -12 + -4y = 19 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = 19 + -12 -4y = 19 + -12 Combine like terms: 19 + -12 = 7 -4y = 7 Divide each side by '-4'. y = -1.75 Simplifying y = -1.75
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