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Simplifying (4y) + 1 = (2y) + -7 Reorder the terms: 1 + (4y) = (2y) + -7 Reorder the terms: 1 + (4y) = -7 + (2y) Solving 1 + (4y) = -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. 1 + (4y) + (-2y) = -7 + (2y) + (-2y) Combine like terms: (4y) + (-2y) = 2y 1 + 2y = -7 + (2y) + (-2y) Combine like terms: (2y) + (-2y) = 0 1 + 2y = -7 + 0 1 + 2y = -7 Add '-1' to each side of the equation. 1 + -1 + 2y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = -7 + -1 2y = -7 + -1 Combine like terms: -7 + -1 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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