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Simplifying 6(y + -5) = 2y + 2 Reorder the terms: 6(-5 + y) = 2y + 2 (-5 * 6 + y * 6) = 2y + 2 (-30 + 6y) = 2y + 2 Reorder the terms: -30 + 6y = 2 + 2y Solving -30 + 6y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -30 + 6y + -2y = 2 + 2y + -2y Combine like terms: 6y + -2y = 4y -30 + 4y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -30 + 4y = 2 + 0 -30 + 4y = 2 Add '30' to each side of the equation. -30 + 30 + 4y = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 4y = 2 + 30 4y = 2 + 30 Combine like terms: 2 + 30 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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