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