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Simplifying 10(2y + 2) + -4 = 2(8y + -8) Reorder the terms: 10(2 + 2y) + -4 = 2(8y + -8) (2 * 10 + 2y * 10) + -4 = 2(8y + -8) (20 + 20y) + -4 = 2(8y + -8) Reorder the terms: 20 + -4 + 20y = 2(8y + -8) Combine like terms: 20 + -4 = 16 16 + 20y = 2(8y + -8) Reorder the terms: 16 + 20y = 2(-8 + 8y) 16 + 20y = (-8 * 2 + 8y * 2) 16 + 20y = (-16 + 16y) Solving 16 + 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. 16 + 20y + -16y = -16 + 16y + -16y Combine like terms: 20y + -16y = 4y 16 + 4y = -16 + 16y + -16y Combine like terms: 16y + -16y = 0 16 + 4y = -16 + 0 16 + 4y = -16 Add '-16' to each side of the equation. 16 + -16 + 4y = -16 + -16 Combine like terms: 16 + -16 = 0 0 + 4y = -16 + -16 4y = -16 + -16 Combine like terms: -16 + -16 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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