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Simplifying 3(4 + -10y) = 8(8y + 16) (4 * 3 + -10y * 3) = 8(8y + 16) (12 + -30y) = 8(8y + 16) Reorder the terms: 12 + -30y = 8(16 + 8y) 12 + -30y = (16 * 8 + 8y * 8) 12 + -30y = (128 + 64y) Solving 12 + -30y = 128 + 64y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-64y' to each side of the equation. 12 + -30y + -64y = 128 + 64y + -64y Combine like terms: -30y + -64y = -94y 12 + -94y = 128 + 64y + -64y Combine like terms: 64y + -64y = 0 12 + -94y = 128 + 0 12 + -94y = 128 Add '-12' to each side of the equation. 12 + -12 + -94y = 128 + -12 Combine like terms: 12 + -12 = 0 0 + -94y = 128 + -12 -94y = 128 + -12 Combine like terms: 128 + -12 = 116 -94y = 116 Divide each side by '-94'. y = -1.234042553 Simplifying y = -1.234042553
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