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Simplifying 4y + -12 + 2y + -5 = 2y + 7 Reorder the terms: -12 + -5 + 4y + 2y = 2y + 7 Combine like terms: -12 + -5 = -17 -17 + 4y + 2y = 2y + 7 Combine like terms: 4y + 2y = 6y -17 + 6y = 2y + 7 Reorder the terms: -17 + 6y = 7 + 2y Solving -17 + 6y = 7 + 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. -17 + 6y + -2y = 7 + 2y + -2y Combine like terms: 6y + -2y = 4y -17 + 4y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 -17 + 4y = 7 + 0 -17 + 4y = 7 Add '17' to each side of the equation. -17 + 17 + 4y = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 4y = 7 + 17 4y = 7 + 17 Combine like terms: 7 + 17 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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