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Simplifying 2y + -3(y + 5) = 4(y + 3) + -2 Reorder the terms: 2y + -3(5 + y) = 4(y + 3) + -2 2y + (5 * -3 + y * -3) = 4(y + 3) + -2 2y + (-15 + -3y) = 4(y + 3) + -2 Reorder the terms: -15 + 2y + -3y = 4(y + 3) + -2 Combine like terms: 2y + -3y = -1y -15 + -1y = 4(y + 3) + -2 Reorder the terms: -15 + -1y = 4(3 + y) + -2 -15 + -1y = (3 * 4 + y * 4) + -2 -15 + -1y = (12 + 4y) + -2 Reorder the terms: -15 + -1y = 12 + -2 + 4y Combine like terms: 12 + -2 = 10 -15 + -1y = 10 + 4y Solving -15 + -1y = 10 + 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. -15 + -1y + -4y = 10 + 4y + -4y Combine like terms: -1y + -4y = -5y -15 + -5y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + -5y = 10 + 0 -15 + -5y = 10 Add '15' to each side of the equation. -15 + 15 + -5y = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -5y = 10 + 15 -5y = 10 + 15 Combine like terms: 10 + 15 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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