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Simplifying 5(y + -1) + -3 = -3(-2y + 6) + -9y Reorder the terms: 5(-1 + y) + -3 = -3(-2y + 6) + -9y (-1 * 5 + y * 5) + -3 = -3(-2y + 6) + -9y (-5 + 5y) + -3 = -3(-2y + 6) + -9y Reorder the terms: -5 + -3 + 5y = -3(-2y + 6) + -9y Combine like terms: -5 + -3 = -8 -8 + 5y = -3(-2y + 6) + -9y Reorder the terms: -8 + 5y = -3(6 + -2y) + -9y -8 + 5y = (6 * -3 + -2y * -3) + -9y -8 + 5y = (-18 + 6y) + -9y Combine like terms: 6y + -9y = -3y -8 + 5y = -18 + -3y Solving -8 + 5y = -18 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -8 + 5y + 3y = -18 + -3y + 3y Combine like terms: 5y + 3y = 8y -8 + 8y = -18 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 8y = -18 + 0 -8 + 8y = -18 Add '8' to each side of the equation. -8 + 8 + 8y = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = -18 + 8 8y = -18 + 8 Combine like terms: -18 + 8 = -10 8y = -10 Divide each side by '8'. y = -1.25 Simplifying y = -1.25
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