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Simplifying 3(y + -6) + 14 = 5y + -6 Reorder the terms: 3(-6 + y) + 14 = 5y + -6 (-6 * 3 + y * 3) + 14 = 5y + -6 (-18 + 3y) + 14 = 5y + -6 Reorder the terms: -18 + 14 + 3y = 5y + -6 Combine like terms: -18 + 14 = -4 -4 + 3y = 5y + -6 Reorder the terms: -4 + 3y = -6 + 5y Solving -4 + 3y = -6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -4 + 3y + -5y = -6 + 5y + -5y Combine like terms: 3y + -5y = -2y -4 + -2y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 -4 + -2y = -6 + 0 -4 + -2y = -6 Add '4' to each side of the equation. -4 + 4 + -2y = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -2y = -6 + 4 -2y = -6 + 4 Combine like terms: -6 + 4 = -2 -2y = -2 Divide each side by '-2'. y = 1 Simplifying y = 1
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