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Simplifying 2(y + -4) = 4(y + 6) + -18 Reorder the terms: 2(-4 + y) = 4(y + 6) + -18 (-4 * 2 + y * 2) = 4(y + 6) + -18 (-8 + 2y) = 4(y + 6) + -18 Reorder the terms: -8 + 2y = 4(6 + y) + -18 -8 + 2y = (6 * 4 + y * 4) + -18 -8 + 2y = (24 + 4y) + -18 Reorder the terms: -8 + 2y = 24 + -18 + 4y Combine like terms: 24 + -18 = 6 -8 + 2y = 6 + 4y Solving -8 + 2y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + 2y + -4y = 6 + 4y + -4y Combine like terms: 2y + -4y = -2y -8 + -2y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + -2y = 6 + 0 -8 + -2y = 6 Add '8' to each side of the equation. -8 + 8 + -2y = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 6 + 8 -2y = 6 + 8 Combine like terms: 6 + 8 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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