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