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Simplifying -33 + 5y + 3 = 2(4y + -2) + -2 Reorder the terms: -33 + 3 + 5y = 2(4y + -2) + -2 Combine like terms: -33 + 3 = -30 -30 + 5y = 2(4y + -2) + -2 Reorder the terms: -30 + 5y = 2(-2 + 4y) + -2 -30 + 5y = (-2 * 2 + 4y * 2) + -2 -30 + 5y = (-4 + 8y) + -2 Reorder the terms: -30 + 5y = -4 + -2 + 8y Combine like terms: -4 + -2 = -6 -30 + 5y = -6 + 8y Solving -30 + 5y = -6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -30 + 5y + -8y = -6 + 8y + -8y Combine like terms: 5y + -8y = -3y -30 + -3y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 -30 + -3y = -6 + 0 -30 + -3y = -6 Add '30' to each side of the equation. -30 + 30 + -3y = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -3y = -6 + 30 -3y = -6 + 30 Combine like terms: -6 + 30 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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