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Simplifying -4y + 8 = 3(2y + -2) + -2(-16 + 8y) Reorder the terms: 8 + -4y = 3(2y + -2) + -2(-16 + 8y) Reorder the terms: 8 + -4y = 3(-2 + 2y) + -2(-16 + 8y) 8 + -4y = (-2 * 3 + 2y * 3) + -2(-16 + 8y) 8 + -4y = (-6 + 6y) + -2(-16 + 8y) 8 + -4y = -6 + 6y + (-16 * -2 + 8y * -2) 8 + -4y = -6 + 6y + (32 + -16y) Reorder the terms: 8 + -4y = -6 + 32 + 6y + -16y Combine like terms: -6 + 32 = 26 8 + -4y = 26 + 6y + -16y Combine like terms: 6y + -16y = -10y 8 + -4y = 26 + -10y Solving 8 + -4y = 26 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 8 + -4y + 10y = 26 + -10y + 10y Combine like terms: -4y + 10y = 6y 8 + 6y = 26 + -10y + 10y Combine like terms: -10y + 10y = 0 8 + 6y = 26 + 0 8 + 6y = 26 Add '-8' to each side of the equation. 8 + -8 + 6y = 26 + -8 Combine like terms: 8 + -8 = 0 0 + 6y = 26 + -8 6y = 26 + -8 Combine like terms: 26 + -8 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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