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