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Simplifying -23 + -1(2y + 1) = 3(y + -2) + 4y Reorder the terms: -23 + -1(1 + 2y) = 3(y + -2) + 4y -23 + (1 * -1 + 2y * -1) = 3(y + -2) + 4y -23 + (-1 + -2y) = 3(y + -2) + 4y Combine like terms: -23 + -1 = -24 -24 + -2y = 3(y + -2) + 4y Reorder the terms: -24 + -2y = 3(-2 + y) + 4y -24 + -2y = (-2 * 3 + y * 3) + 4y -24 + -2y = (-6 + 3y) + 4y Combine like terms: 3y + 4y = 7y -24 + -2y = -6 + 7y Solving -24 + -2y = -6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -24 + -2y + -7y = -6 + 7y + -7y Combine like terms: -2y + -7y = -9y -24 + -9y = -6 + 7y + -7y Combine like terms: 7y + -7y = 0 -24 + -9y = -6 + 0 -24 + -9y = -6 Add '24' to each side of the equation. -24 + 24 + -9y = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -9y = -6 + 24 -9y = -6 + 24 Combine like terms: -6 + 24 = 18 -9y = 18 Divide each side by '-9'. y = -2 Simplifying y = -2
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