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Simplifying 5y + -3 = 2(y + 6) Reorder the terms: -3 + 5y = 2(y + 6) Reorder the terms: -3 + 5y = 2(6 + y) -3 + 5y = (6 * 2 + y * 2) -3 + 5y = (12 + 2y) Solving -3 + 5y = 12 + 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. -3 + 5y + -2y = 12 + 2y + -2y Combine like terms: 5y + -2y = 3y -3 + 3y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -3 + 3y = 12 + 0 -3 + 3y = 12 Add '3' to each side of the equation. -3 + 3 + 3y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = 12 + 3 3y = 12 + 3 Combine like terms: 12 + 3 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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