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