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Simplifying 10y + -2 = 13y + 7 Reorder the terms: -2 + 10y = 13y + 7 Reorder the terms: -2 + 10y = 7 + 13y Solving -2 + 10y = 7 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -2 + 10y + -13y = 7 + 13y + -13y Combine like terms: 10y + -13y = -3y -2 + -3y = 7 + 13y + -13y Combine like terms: 13y + -13y = 0 -2 + -3y = 7 + 0 -2 + -3y = 7 Add '2' to each side of the equation. -2 + 2 + -3y = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 7 + 2 -3y = 7 + 2 Combine like terms: 7 + 2 = 9 -3y = 9 Divide each side by '-3'. y = -3 Simplifying y = -3
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