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Simplifying -1(y + -4) + 3y = 4(y + 4) Reorder the terms: -1(-4 + y) + 3y = 4(y + 4) (-4 * -1 + y * -1) + 3y = 4(y + 4) (4 + -1y) + 3y = 4(y + 4) Combine like terms: -1y + 3y = 2y 4 + 2y = 4(y + 4) Reorder the terms: 4 + 2y = 4(4 + y) 4 + 2y = (4 * 4 + y * 4) 4 + 2y = (16 + 4y) Solving 4 + 2y = 16 + 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. 4 + 2y + -4y = 16 + 4y + -4y Combine like terms: 2y + -4y = -2y 4 + -2y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + -2y = 16 + 0 4 + -2y = 16 Add '-4' to each side of the equation. 4 + -4 + -2y = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -2y = 16 + -4 -2y = 16 + -4 Combine like terms: 16 + -4 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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