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Simplifying 4 + y + -6 = 6y + -4y + 7 Reorder the terms: 4 + -6 + y = 6y + -4y + 7 Combine like terms: 4 + -6 = -2 -2 + y = 6y + -4y + 7 Reorder the terms: -2 + y = 7 + 6y + -4y Combine like terms: 6y + -4y = 2y -2 + y = 7 + 2y Solving -2 + y = 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. -2 + y + -2y = 7 + 2y + -2y Combine like terms: y + -2y = -1y -2 + -1y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + -1y = 7 + 0 -2 + -1y = 7 Add '2' to each side of the equation. -2 + 2 + -1y = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 7 + 2 -1y = 7 + 2 Combine like terms: 7 + 2 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9
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