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Simplifying 4y + 10 = 7y + 12 Reorder the terms: 10 + 4y = 7y + 12 Reorder the terms: 10 + 4y = 12 + 7y Solving 10 + 4y = 12 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 10 + 4y + -7y = 12 + 7y + -7y Combine like terms: 4y + -7y = -3y 10 + -3y = 12 + 7y + -7y Combine like terms: 7y + -7y = 0 10 + -3y = 12 + 0 10 + -3y = 12 Add '-10' to each side of the equation. 10 + -10 + -3y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 12 + -10 -3y = 12 + -10 Combine like terms: 12 + -10 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667
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