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Simplifying 5 + -2(y + 3) = 4(y + -1) + 9 Reorder the terms: 5 + -2(3 + y) = 4(y + -1) + 9 5 + (3 * -2 + y * -2) = 4(y + -1) + 9 5 + (-6 + -2y) = 4(y + -1) + 9 Combine like terms: 5 + -6 = -1 -1 + -2y = 4(y + -1) + 9 Reorder the terms: -1 + -2y = 4(-1 + y) + 9 -1 + -2y = (-1 * 4 + y * 4) + 9 -1 + -2y = (-4 + 4y) + 9 Reorder the terms: -1 + -2y = -4 + 9 + 4y Combine like terms: -4 + 9 = 5 -1 + -2y = 5 + 4y Solving -1 + -2y = 5 + 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. -1 + -2y + -4y = 5 + 4y + -4y Combine like terms: -2y + -4y = -6y -1 + -6y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 -1 + -6y = 5 + 0 -1 + -6y = 5 Add '1' to each side of the equation. -1 + 1 + -6y = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -6y = 5 + 1 -6y = 5 + 1 Combine like terms: 5 + 1 = 6 -6y = 6 Divide each side by '-6'. y = -1 Simplifying y = -1
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