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Simplifying -7(3 + y) = 4(2y + 6) (3 * -7 + y * -7) = 4(2y + 6) (-21 + -7y) = 4(2y + 6) Reorder the terms: -21 + -7y = 4(6 + 2y) -21 + -7y = (6 * 4 + 2y * 4) -21 + -7y = (24 + 8y) Solving -21 + -7y = 24 + 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 = 24 + 8y + -8y Combine like terms: -7y + -8y = -15y -21 + -15y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + -15y = 24 + 0 -21 + -15y = 24 Add '21' to each side of the equation. -21 + 21 + -15y = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -15y = 24 + 21 -15y = 24 + 21 Combine like terms: 24 + 21 = 45 -15y = 45 Divide each side by '-15'. y = -3 Simplifying y = -3
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