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Simplifying 2 + 3(y + -2) = 5(y + 4) + -1y Reorder the terms: 2 + 3(-2 + y) = 5(y + 4) + -1y 2 + (-2 * 3 + y * 3) = 5(y + 4) + -1y 2 + (-6 + 3y) = 5(y + 4) + -1y Combine like terms: 2 + -6 = -4 -4 + 3y = 5(y + 4) + -1y Reorder the terms: -4 + 3y = 5(4 + y) + -1y -4 + 3y = (4 * 5 + y * 5) + -1y -4 + 3y = (20 + 5y) + -1y Combine like terms: 5y + -1y = 4y -4 + 3y = 20 + 4y Solving -4 + 3y = 20 + 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 + 3y + -4y = 20 + 4y + -4y Combine like terms: 3y + -4y = -1y -4 + -1y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + -1y = 20 + 0 -4 + -1y = 20 Add '4' to each side of the equation. -4 + 4 + -1y = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 20 + 4 -1y = 20 + 4 Combine like terms: 20 + 4 = 24 -1y = 24 Divide each side by '-1'. y = -24 Simplifying y = -24
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