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Simplifying 2(y + -1) = 4(y + 3) Reorder the terms: 2(-1 + y) = 4(y + 3) (-1 * 2 + y * 2) = 4(y + 3) (-2 + 2y) = 4(y + 3) Reorder the terms: -2 + 2y = 4(3 + y) -2 + 2y = (3 * 4 + y * 4) -2 + 2y = (12 + 4y) Solving -2 + 2y = 12 + 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. -2 + 2y + -4y = 12 + 4y + -4y Combine like terms: 2y + -4y = -2y -2 + -2y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + -2y = 12 + 0 -2 + -2y = 12 Add '2' to each side of the equation. -2 + 2 + -2y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -2y = 12 + 2 -2y = 12 + 2 Combine like terms: 12 + 2 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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