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Simplifying 5(y + -3) + -3(y + 4) = 1 + -6(y + -4) Reorder the terms: 5(-3 + y) + -3(y + 4) = 1 + -6(y + -4) (-3 * 5 + y * 5) + -3(y + 4) = 1 + -6(y + -4) (-15 + 5y) + -3(y + 4) = 1 + -6(y + -4) Reorder the terms: -15 + 5y + -3(4 + y) = 1 + -6(y + -4) -15 + 5y + (4 * -3 + y * -3) = 1 + -6(y + -4) -15 + 5y + (-12 + -3y) = 1 + -6(y + -4) Reorder the terms: -15 + -12 + 5y + -3y = 1 + -6(y + -4) Combine like terms: -15 + -12 = -27 -27 + 5y + -3y = 1 + -6(y + -4) Combine like terms: 5y + -3y = 2y -27 + 2y = 1 + -6(y + -4) Reorder the terms: -27 + 2y = 1 + -6(-4 + y) -27 + 2y = 1 + (-4 * -6 + y * -6) -27 + 2y = 1 + (24 + -6y) Combine like terms: 1 + 24 = 25 -27 + 2y = 25 + -6y Solving -27 + 2y = 25 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -27 + 2y + 6y = 25 + -6y + 6y Combine like terms: 2y + 6y = 8y -27 + 8y = 25 + -6y + 6y Combine like terms: -6y + 6y = 0 -27 + 8y = 25 + 0 -27 + 8y = 25 Add '27' to each side of the equation. -27 + 27 + 8y = 25 + 27 Combine like terms: -27 + 27 = 0 0 + 8y = 25 + 27 8y = 25 + 27 Combine like terms: 25 + 27 = 52 8y = 52 Divide each side by '8'. y = 6.5 Simplifying y = 6.5
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