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Simplifying -6(y + 5) = 10y + -2(3 + 2y) Reorder the terms: -6(5 + y) = 10y + -2(3 + 2y) (5 * -6 + y * -6) = 10y + -2(3 + 2y) (-30 + -6y) = 10y + -2(3 + 2y) -30 + -6y = 10y + (3 * -2 + 2y * -2) -30 + -6y = 10y + (-6 + -4y) Reorder the terms: -30 + -6y = -6 + 10y + -4y Combine like terms: 10y + -4y = 6y -30 + -6y = -6 + 6y Solving -30 + -6y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -30 + -6y + -6y = -6 + 6y + -6y Combine like terms: -6y + -6y = -12y -30 + -12y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 -30 + -12y = -6 + 0 -30 + -12y = -6 Add '30' to each side of the equation. -30 + 30 + -12y = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -12y = -6 + 30 -12y = -6 + 30 Combine like terms: -6 + 30 = 24 -12y = 24 Divide each side by '-12'. y = -2 Simplifying y = -2
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