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Simplifying 3(y + -10) = 5y + -6 Reorder the terms: 3(-10 + y) = 5y + -6 (-10 * 3 + y * 3) = 5y + -6 (-30 + 3y) = 5y + -6 Reorder the terms: -30 + 3y = -6 + 5y Solving -30 + 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. -30 + 3y + -5y = -6 + 5y + -5y Combine like terms: 3y + -5y = -2y -30 + -2y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + -2y = -6 + 0 -30 + -2y = -6 Add '30' to each side of the equation. -30 + 30 + -2y = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -2y = -6 + 30 -2y = -6 + 30 Combine like terms: -6 + 30 = 24 -2y = 24 Divide each side by '-2'. y = -12 Simplifying y = -12
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