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Simplifying 4(y + -4) = 2(3y + -3) Reorder the terms: 4(-4 + y) = 2(3y + -3) (-4 * 4 + y * 4) = 2(3y + -3) (-16 + 4y) = 2(3y + -3) Reorder the terms: -16 + 4y = 2(-3 + 3y) -16 + 4y = (-3 * 2 + 3y * 2) -16 + 4y = (-6 + 6y) Solving -16 + 4y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -16 + 4y + -6y = -6 + 6y + -6y Combine like terms: 4y + -6y = -2y -16 + -2y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 -16 + -2y = -6 + 0 -16 + -2y = -6 Add '16' to each side of the equation. -16 + 16 + -2y = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -2y = -6 + 16 -2y = -6 + 16 Combine like terms: -6 + 16 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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