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Simplifying -5(2y + 1) + -4 = -6(y + 4) + 2y Reorder the terms: -5(1 + 2y) + -4 = -6(y + 4) + 2y (1 * -5 + 2y * -5) + -4 = -6(y + 4) + 2y (-5 + -10y) + -4 = -6(y + 4) + 2y Reorder the terms: -5 + -4 + -10y = -6(y + 4) + 2y Combine like terms: -5 + -4 = -9 -9 + -10y = -6(y + 4) + 2y Reorder the terms: -9 + -10y = -6(4 + y) + 2y -9 + -10y = (4 * -6 + y * -6) + 2y -9 + -10y = (-24 + -6y) + 2y Combine like terms: -6y + 2y = -4y -9 + -10y = -24 + -4y Solving -9 + -10y = -24 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -9 + -10y + 4y = -24 + -4y + 4y Combine like terms: -10y + 4y = -6y -9 + -6y = -24 + -4y + 4y Combine like terms: -4y + 4y = 0 -9 + -6y = -24 + 0 -9 + -6y = -24 Add '9' to each side of the equation. -9 + 9 + -6y = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -6y = -24 + 9 -6y = -24 + 9 Combine like terms: -24 + 9 = -15 -6y = -15 Divide each side by '-6'. y = 2.5 Simplifying y = 2.5
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