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Simplifying 6y + 10 + -2y = 5 + 3y + -7 Reorder the terms: 10 + 6y + -2y = 5 + 3y + -7 Combine like terms: 6y + -2y = 4y 10 + 4y = 5 + 3y + -7 Reorder the terms: 10 + 4y = 5 + -7 + 3y Combine like terms: 5 + -7 = -2 10 + 4y = -2 + 3y Solving 10 + 4y = -2 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 10 + 4y + -3y = -2 + 3y + -3y Combine like terms: 4y + -3y = 1y 10 + 1y = -2 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 1y = -2 + 0 10 + 1y = -2 Add '-10' to each side of the equation. 10 + -10 + 1y = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = -2 + -10 1y = -2 + -10 Combine like terms: -2 + -10 = -12 1y = -12 Divide each side by '1'. y = -12 Simplifying y = -12
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