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Simplifying 7y + -2(y + -2) = 10y + -1(6y + 12) Reorder the terms: 7y + -2(-2 + y) = 10y + -1(6y + 12) 7y + (-2 * -2 + y * -2) = 10y + -1(6y + 12) 7y + (4 + -2y) = 10y + -1(6y + 12) Reorder the terms: 4 + 7y + -2y = 10y + -1(6y + 12) Combine like terms: 7y + -2y = 5y 4 + 5y = 10y + -1(6y + 12) Reorder the terms: 4 + 5y = 10y + -1(12 + 6y) 4 + 5y = 10y + (12 * -1 + 6y * -1) 4 + 5y = 10y + (-12 + -6y) Reorder the terms: 4 + 5y = -12 + 10y + -6y Combine like terms: 10y + -6y = 4y 4 + 5y = -12 + 4y Solving 4 + 5y = -12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 4 + 5y + -4y = -12 + 4y + -4y Combine like terms: 5y + -4y = 1y 4 + 1y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + 1y = -12 + 0 4 + 1y = -12 Add '-4' to each side of the equation. 4 + -4 + 1y = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = -12 + -4 1y = -12 + -4 Combine like terms: -12 + -4 = -16 1y = -16 Divide each side by '1'. y = -16 Simplifying y = -16
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