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Simplifying 7y + -5 = 10y + 12 Reorder the terms: -5 + 7y = 10y + 12 Reorder the terms: -5 + 7y = 12 + 10y Solving -5 + 7y = 12 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -5 + 7y + -10y = 12 + 10y + -10y Combine like terms: 7y + -10y = -3y -5 + -3y = 12 + 10y + -10y Combine like terms: 10y + -10y = 0 -5 + -3y = 12 + 0 -5 + -3y = 12 Add '5' to each side of the equation. -5 + 5 + -3y = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -3y = 12 + 5 -3y = 12 + 5 Combine like terms: 12 + 5 = 17 -3y = 17 Divide each side by '-3'. y = -5.666666667 Simplifying y = -5.666666667
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