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Simplifying 2(-6y + -5) = 2(-3y + 7) Reorder the terms: 2(-5 + -6y) = 2(-3y + 7) (-5 * 2 + -6y * 2) = 2(-3y + 7) (-10 + -12y) = 2(-3y + 7) Reorder the terms: -10 + -12y = 2(7 + -3y) -10 + -12y = (7 * 2 + -3y * 2) -10 + -12y = (14 + -6y) Solving -10 + -12y = 14 + -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. -10 + -12y + 6y = 14 + -6y + 6y Combine like terms: -12y + 6y = -6y -10 + -6y = 14 + -6y + 6y Combine like terms: -6y + 6y = 0 -10 + -6y = 14 + 0 -10 + -6y = 14 Add '10' to each side of the equation. -10 + 10 + -6y = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -6y = 14 + 10 -6y = 14 + 10 Combine like terms: 14 + 10 = 24 -6y = 24 Divide each side by '-6'. y = -4 Simplifying y = -4
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