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Simplifying 4y + 7 = -2y + 1 Reorder the terms: 7 + 4y = -2y + 1 Reorder the terms: 7 + 4y = 1 + -2y Solving 7 + 4y = 1 + -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. 7 + 4y + 2y = 1 + -2y + 2y Combine like terms: 4y + 2y = 6y 7 + 6y = 1 + -2y + 2y Combine like terms: -2y + 2y = 0 7 + 6y = 1 + 0 7 + 6y = 1 Add '-7' to each side of the equation. 7 + -7 + 6y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 1 + -7 6y = 1 + -7 Combine like terms: 1 + -7 = -6 6y = -6 Divide each side by '6'. y = -1 Simplifying y = -1
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