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Simplifying 10 + -1(2y + -3) = 7 + -3y Reorder the terms: 10 + -1(-3 + 2y) = 7 + -3y 10 + (-3 * -1 + 2y * -1) = 7 + -3y 10 + (3 + -2y) = 7 + -3y Combine like terms: 10 + 3 = 13 13 + -2y = 7 + -3y Solving 13 + -2y = 7 + -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. 13 + -2y + 3y = 7 + -3y + 3y Combine like terms: -2y + 3y = 1y 13 + 1y = 7 + -3y + 3y Combine like terms: -3y + 3y = 0 13 + 1y = 7 + 0 13 + 1y = 7 Add '-13' to each side of the equation. 13 + -13 + 1y = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 7 + -13 1y = 7 + -13 Combine like terms: 7 + -13 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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