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Simplifying 6(y + -3) = 2y + -30 Reorder the terms: 6(-3 + y) = 2y + -30 (-3 * 6 + y * 6) = 2y + -30 (-18 + 6y) = 2y + -30 Reorder the terms: -18 + 6y = -30 + 2y Solving -18 + 6y = -30 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -18 + 6y + -2y = -30 + 2y + -2y Combine like terms: 6y + -2y = 4y -18 + 4y = -30 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 4y = -30 + 0 -18 + 4y = -30 Add '18' to each side of the equation. -18 + 18 + 4y = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 4y = -30 + 18 4y = -30 + 18 Combine like terms: -30 + 18 = -12 4y = -12 Divide each side by '4'. y = -3 Simplifying y = -3
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