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Simplifying -32 + 2y + 4 = 2(3y + -3) + -2 Reorder the terms: -32 + 4 + 2y = 2(3y + -3) + -2 Combine like terms: -32 + 4 = -28 -28 + 2y = 2(3y + -3) + -2 Reorder the terms: -28 + 2y = 2(-3 + 3y) + -2 -28 + 2y = (-3 * 2 + 3y * 2) + -2 -28 + 2y = (-6 + 6y) + -2 Reorder the terms: -28 + 2y = -6 + -2 + 6y Combine like terms: -6 + -2 = -8 -28 + 2y = -8 + 6y Solving -28 + 2y = -8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -28 + 2y + -6y = -8 + 6y + -6y Combine like terms: 2y + -6y = -4y -28 + -4y = -8 + 6y + -6y Combine like terms: 6y + -6y = 0 -28 + -4y = -8 + 0 -28 + -4y = -8 Add '28' to each side of the equation. -28 + 28 + -4y = -8 + 28 Combine like terms: -28 + 28 = 0 0 + -4y = -8 + 28 -4y = -8 + 28 Combine like terms: -8 + 28 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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