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Simplifying 4(y + -4) = 3(7 + y) Reorder the terms: 4(-4 + y) = 3(7 + y) (-4 * 4 + y * 4) = 3(7 + y) (-16 + 4y) = 3(7 + y) -16 + 4y = (7 * 3 + y * 3) -16 + 4y = (21 + 3y) Solving -16 + 4y = 21 + 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. -16 + 4y + -3y = 21 + 3y + -3y Combine like terms: 4y + -3y = 1y -16 + 1y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + 1y = 21 + 0 -16 + 1y = 21 Add '16' to each side of the equation. -16 + 16 + 1y = 21 + 16 Combine like terms: -16 + 16 = 0 0 + 1y = 21 + 16 1y = 21 + 16 Combine like terms: 21 + 16 = 37 1y = 37 Divide each side by '1'. y = 37 Simplifying y = 37
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