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Simplifying 5y + -7 + y + 19 = 6y + 20 + -4y Reorder the terms: -7 + 19 + 5y + y = 6y + 20 + -4y Combine like terms: -7 + 19 = 12 12 + 5y + y = 6y + 20 + -4y Combine like terms: 5y + y = 6y 12 + 6y = 6y + 20 + -4y Reorder the terms: 12 + 6y = 20 + 6y + -4y Combine like terms: 6y + -4y = 2y 12 + 6y = 20 + 2y Solving 12 + 6y = 20 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + 6y + -2y = 20 + 2y + -2y Combine like terms: 6y + -2y = 4y 12 + 4y = 20 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 4y = 20 + 0 12 + 4y = 20 Add '-12' to each side of the equation. 12 + -12 + 4y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = 20 + -12 4y = 20 + -12 Combine like terms: 20 + -12 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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