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Simplifying 5 + 2(3y + -4) = -2(6y + -6) + 6y Reorder the terms: 5 + 2(-4 + 3y) = -2(6y + -6) + 6y 5 + (-4 * 2 + 3y * 2) = -2(6y + -6) + 6y 5 + (-8 + 6y) = -2(6y + -6) + 6y Combine like terms: 5 + -8 = -3 -3 + 6y = -2(6y + -6) + 6y Reorder the terms: -3 + 6y = -2(-6 + 6y) + 6y -3 + 6y = (-6 * -2 + 6y * -2) + 6y -3 + 6y = (12 + -12y) + 6y Combine like terms: -12y + 6y = -6y -3 + 6y = 12 + -6y Solving -3 + 6y = 12 + -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. -3 + 6y + 6y = 12 + -6y + 6y Combine like terms: 6y + 6y = 12y -3 + 12y = 12 + -6y + 6y Combine like terms: -6y + 6y = 0 -3 + 12y = 12 + 0 -3 + 12y = 12 Add '3' to each side of the equation. -3 + 3 + 12y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 12y = 12 + 3 12y = 12 + 3 Combine like terms: 12 + 3 = 15 12y = 15 Divide each side by '12'. y = 1.25 Simplifying y = 1.25
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