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Simplifying 5(y + -6) + -2 = 2y + -5 Reorder the terms: 5(-6 + y) + -2 = 2y + -5 (-6 * 5 + y * 5) + -2 = 2y + -5 (-30 + 5y) + -2 = 2y + -5 Reorder the terms: -30 + -2 + 5y = 2y + -5 Combine like terms: -30 + -2 = -32 -32 + 5y = 2y + -5 Reorder the terms: -32 + 5y = -5 + 2y Solving -32 + 5y = -5 + 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. -32 + 5y + -2y = -5 + 2y + -2y Combine like terms: 5y + -2y = 3y -32 + 3y = -5 + 2y + -2y Combine like terms: 2y + -2y = 0 -32 + 3y = -5 + 0 -32 + 3y = -5 Add '32' to each side of the equation. -32 + 32 + 3y = -5 + 32 Combine like terms: -32 + 32 = 0 0 + 3y = -5 + 32 3y = -5 + 32 Combine like terms: -5 + 32 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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