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Simplifying -6y + y + -7 = 1 + -3y + 2 Reorder the terms: -7 + -6y + y = 1 + -3y + 2 Combine like terms: -6y + y = -5y -7 + -5y = 1 + -3y + 2 Reorder the terms: -7 + -5y = 1 + 2 + -3y Combine like terms: 1 + 2 = 3 -7 + -5y = 3 + -3y Solving -7 + -5y = 3 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -7 + -5y + 3y = 3 + -3y + 3y Combine like terms: -5y + 3y = -2y -7 + -2y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 -7 + -2y = 3 + 0 -7 + -2y = 3 Add '7' to each side of the equation. -7 + 7 + -2y = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -2y = 3 + 7 -2y = 3 + 7 Combine like terms: 3 + 7 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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