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