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Simplifying -18 + -1(3y + 2) = 2(y + -2) + 3y Reorder the terms: -18 + -1(2 + 3y) = 2(y + -2) + 3y -18 + (2 * -1 + 3y * -1) = 2(y + -2) + 3y -18 + (-2 + -3y) = 2(y + -2) + 3y Combine like terms: -18 + -2 = -20 -20 + -3y = 2(y + -2) + 3y Reorder the terms: -20 + -3y = 2(-2 + y) + 3y -20 + -3y = (-2 * 2 + y * 2) + 3y -20 + -3y = (-4 + 2y) + 3y Combine like terms: 2y + 3y = 5y -20 + -3y = -4 + 5y Solving -20 + -3y = -4 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -20 + -3y + -5y = -4 + 5y + -5y Combine like terms: -3y + -5y = -8y -20 + -8y = -4 + 5y + -5y Combine like terms: 5y + -5y = 0 -20 + -8y = -4 + 0 -20 + -8y = -4 Add '20' to each side of the equation. -20 + 20 + -8y = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -8y = -4 + 20 -8y = -4 + 20 Combine like terms: -4 + 20 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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