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Simplifying 4(2y + -7) + -2(3y) = 1 Reorder the terms: 4(-7 + 2y) + -2(3y) = 1 (-7 * 4 + 2y * 4) + -2(3y) = 1 (-28 + 8y) + -2(3y) = 1 Remove parenthesis around (3y) -28 + 8y + -2 * 3y = 1 Multiply -2 * 3 -28 + 8y + -6y = 1 Combine like terms: 8y + -6y = 2y -28 + 2y = 1 Solving -28 + 2y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 2y = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 2y = 1 + 28 2y = 1 + 28 Combine like terms: 1 + 28 = 29 2y = 29 Divide each side by '2'. y = 14.5 Simplifying y = 14.5
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