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Simplifying -4(2y + -4) + 2y = 2(y + 2) Reorder the terms: -4(-4 + 2y) + 2y = 2(y + 2) (-4 * -4 + 2y * -4) + 2y = 2(y + 2) (16 + -8y) + 2y = 2(y + 2) Combine like terms: -8y + 2y = -6y 16 + -6y = 2(y + 2) Reorder the terms: 16 + -6y = 2(2 + y) 16 + -6y = (2 * 2 + y * 2) 16 + -6y = (4 + 2y) Solving 16 + -6y = 4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 16 + -6y + -2y = 4 + 2y + -2y Combine like terms: -6y + -2y = -8y 16 + -8y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 16 + -8y = 4 + 0 16 + -8y = 4 Add '-16' to each side of the equation. 16 + -16 + -8y = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -8y = 4 + -16 -8y = 4 + -16 Combine like terms: 4 + -16 = -12 -8y = -12 Divide each side by '-8'. y = 1.5 Simplifying y = 1.5
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