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Simplifying -5(2y + 4) + -7 = -6(y + 7) + 2y Reorder the terms: -5(4 + 2y) + -7 = -6(y + 7) + 2y (4 * -5 + 2y * -5) + -7 = -6(y + 7) + 2y (-20 + -10y) + -7 = -6(y + 7) + 2y Reorder the terms: -20 + -7 + -10y = -6(y + 7) + 2y Combine like terms: -20 + -7 = -27 -27 + -10y = -6(y + 7) + 2y Reorder the terms: -27 + -10y = -6(7 + y) + 2y -27 + -10y = (7 * -6 + y * -6) + 2y -27 + -10y = (-42 + -6y) + 2y Combine like terms: -6y + 2y = -4y -27 + -10y = -42 + -4y Solving -27 + -10y = -42 + -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. -27 + -10y + 4y = -42 + -4y + 4y Combine like terms: -10y + 4y = -6y -27 + -6y = -42 + -4y + 4y Combine like terms: -4y + 4y = 0 -27 + -6y = -42 + 0 -27 + -6y = -42 Add '27' to each side of the equation. -27 + 27 + -6y = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -6y = -42 + 27 -6y = -42 + 27 Combine like terms: -42 + 27 = -15 -6y = -15 Divide each side by '-6'. y = 2.5 Simplifying y = 2.5
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