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Simplifying 10(2y + 2) = 2(8y + -8) Reorder the terms: 10(2 + 2y) = 2(8y + -8) (2 * 10 + 2y * 10) = 2(8y + -8) (20 + 20y) = 2(8y + -8) Reorder the terms: 20 + 20y = 2(-8 + 8y) 20 + 20y = (-8 * 2 + 8y * 2) 20 + 20y = (-16 + 16y) Solving 20 + 20y = -16 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 20 + 20y + -16y = -16 + 16y + -16y Combine like terms: 20y + -16y = 4y 20 + 4y = -16 + 16y + -16y Combine like terms: 16y + -16y = 0 20 + 4y = -16 + 0 20 + 4y = -16 Add '-20' to each side of the equation. 20 + -20 + 4y = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 4y = -16 + -20 4y = -16 + -20 Combine like terms: -16 + -20 = -36 4y = -36 Divide each side by '4'. y = -9 Simplifying y = -9
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