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Simplifying 3y + 12 = 7y + -10 Reorder the terms: 12 + 3y = 7y + -10 Reorder the terms: 12 + 3y = -10 + 7y Solving 12 + 3y = -10 + 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. 12 + 3y + -7y = -10 + 7y + -7y Combine like terms: 3y + -7y = -4y 12 + -4y = -10 + 7y + -7y Combine like terms: 7y + -7y = 0 12 + -4y = -10 + 0 12 + -4y = -10 Add '-12' to each side of the equation. 12 + -12 + -4y = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = -10 + -12 -4y = -10 + -12 Combine like terms: -10 + -12 = -22 -4y = -22 Divide each side by '-4'. y = 5.5 Simplifying y = 5.5
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