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Simplifying 6y + 7 = 3 + 2y + -12 Reorder the terms: 7 + 6y = 3 + 2y + -12 Reorder the terms: 7 + 6y = 3 + -12 + 2y Combine like terms: 3 + -12 = -9 7 + 6y = -9 + 2y Solving 7 + 6y = -9 + 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. 7 + 6y + -2y = -9 + 2y + -2y Combine like terms: 6y + -2y = 4y 7 + 4y = -9 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 4y = -9 + 0 7 + 4y = -9 Add '-7' to each side of the equation. 7 + -7 + 4y = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = -9 + -7 4y = -9 + -7 Combine like terms: -9 + -7 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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