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Simplifying 7 + -3(3y + -7) = -2(-8y + 8) + -6 Reorder the terms: 7 + -3(-7 + 3y) = -2(-8y + 8) + -6 7 + (-7 * -3 + 3y * -3) = -2(-8y + 8) + -6 7 + (21 + -9y) = -2(-8y + 8) + -6 Combine like terms: 7 + 21 = 28 28 + -9y = -2(-8y + 8) + -6 Reorder the terms: 28 + -9y = -2(8 + -8y) + -6 28 + -9y = (8 * -2 + -8y * -2) + -6 28 + -9y = (-16 + 16y) + -6 Reorder the terms: 28 + -9y = -16 + -6 + 16y Combine like terms: -16 + -6 = -22 28 + -9y = -22 + 16y Solving 28 + -9y = -22 + 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. 28 + -9y + -16y = -22 + 16y + -16y Combine like terms: -9y + -16y = -25y 28 + -25y = -22 + 16y + -16y Combine like terms: 16y + -16y = 0 28 + -25y = -22 + 0 28 + -25y = -22 Add '-28' to each side of the equation. 28 + -28 + -25y = -22 + -28 Combine like terms: 28 + -28 = 0 0 + -25y = -22 + -28 -25y = -22 + -28 Combine like terms: -22 + -28 = -50 -25y = -50 Divide each side by '-25'. y = 2 Simplifying y = 2
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