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Simplifying 6y + 1 = 2y + -7 Reorder the terms: 1 + 6y = 2y + -7 Reorder the terms: 1 + 6y = -7 + 2y Solving 1 + 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. 1 + 6y + -2y = -7 + 2y + -2y Combine like terms: 6y + -2y = 4y 1 + 4y = -7 + 2y + -2y Combine like terms: 2y + -2y = 0 1 + 4y = -7 + 0 1 + 4y = -7 Add '-1' to each side of the equation. 1 + -1 + 4y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = -7 + -1 4y = -7 + -1 Combine like terms: -7 + -1 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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