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Simplifying -6y + -33 = -4(y + 7) Reorder the terms: -33 + -6y = -4(y + 7) Reorder the terms: -33 + -6y = -4(7 + y) -33 + -6y = (7 * -4 + y * -4) -33 + -6y = (-28 + -4y) Solving -33 + -6y = -28 + -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. -33 + -6y + 4y = -28 + -4y + 4y Combine like terms: -6y + 4y = -2y -33 + -2y = -28 + -4y + 4y Combine like terms: -4y + 4y = 0 -33 + -2y = -28 + 0 -33 + -2y = -28 Add '33' to each side of the equation. -33 + 33 + -2y = -28 + 33 Combine like terms: -33 + 33 = 0 0 + -2y = -28 + 33 -2y = -28 + 33 Combine like terms: -28 + 33 = 5 -2y = 5 Divide each side by '-2'. y = -2.5 Simplifying y = -2.5
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