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Simplifying -2y + -10 = 6y + 46 Reorder the terms: -10 + -2y = 6y + 46 Reorder the terms: -10 + -2y = 46 + 6y Solving -10 + -2y = 46 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -10 + -2y + -6y = 46 + 6y + -6y Combine like terms: -2y + -6y = -8y -10 + -8y = 46 + 6y + -6y Combine like terms: 6y + -6y = 0 -10 + -8y = 46 + 0 -10 + -8y = 46 Add '10' to each side of the equation. -10 + 10 + -8y = 46 + 10 Combine like terms: -10 + 10 = 0 0 + -8y = 46 + 10 -8y = 46 + 10 Combine like terms: 46 + 10 = 56 -8y = 56 Divide each side by '-8'. y = -7 Simplifying y = -7
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