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Simplifying -4(y + -1) + 3y = 4(y + -4) Reorder the terms: -4(-1 + y) + 3y = 4(y + -4) (-1 * -4 + y * -4) + 3y = 4(y + -4) (4 + -4y) + 3y = 4(y + -4) Combine like terms: -4y + 3y = -1y 4 + -1y = 4(y + -4) Reorder the terms: 4 + -1y = 4(-4 + y) 4 + -1y = (-4 * 4 + y * 4) 4 + -1y = (-16 + 4y) Solving 4 + -1y = -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 + -1y + -4y = -16 + 4y + -4y Combine like terms: -1y + -4y = -5y 4 + -5y = -16 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + -5y = -16 + 0 4 + -5y = -16 Add '-4' to each side of the equation. 4 + -4 + -5y = -16 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = -16 + -4 -5y = -16 + -4 Combine like terms: -16 + -4 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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