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Simplifying 4y + 3(y + -7) = 8y + 14 Reorder the terms: 4y + 3(-7 + y) = 8y + 14 4y + (-7 * 3 + y * 3) = 8y + 14 4y + (-21 + 3y) = 8y + 14 Reorder the terms: -21 + 4y + 3y = 8y + 14 Combine like terms: 4y + 3y = 7y -21 + 7y = 8y + 14 Reorder the terms: -21 + 7y = 14 + 8y Solving -21 + 7y = 14 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -21 + 7y + -8y = 14 + 8y + -8y Combine like terms: 7y + -8y = -1y -21 + -1y = 14 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + -1y = 14 + 0 -21 + -1y = 14 Add '21' to each side of the equation. -21 + 21 + -1y = 14 + 21 Combine like terms: -21 + 21 = 0 0 + -1y = 14 + 21 -1y = 14 + 21 Combine like terms: 14 + 21 = 35 -1y = 35 Divide each side by '-1'. y = -35 Simplifying y = -35
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