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Simplifying 3y + -7 + y + 19 = 5 + 8y + 15 + -6y Reorder the terms: -7 + 19 + 3y + y = 5 + 8y + 15 + -6y Combine like terms: -7 + 19 = 12 12 + 3y + y = 5 + 8y + 15 + -6y Combine like terms: 3y + y = 4y 12 + 4y = 5 + 8y + 15 + -6y Reorder the terms: 12 + 4y = 5 + 15 + 8y + -6y Combine like terms: 5 + 15 = 20 12 + 4y = 20 + 8y + -6y Combine like terms: 8y + -6y = 2y 12 + 4y = 20 + 2y Solving 12 + 4y = 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 + 4y + -2y = 20 + 2y + -2y Combine like terms: 4y + -2y = 2y 12 + 2y = 20 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 2y = 20 + 0 12 + 2y = 20 Add '-12' to each side of the equation. 12 + -12 + 2y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 20 + -12 2y = 20 + -12 Combine like terms: 20 + -12 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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