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Simplifying 4(y + -3) + -6 = 2(y + 6) Reorder the terms: 4(-3 + y) + -6 = 2(y + 6) (-3 * 4 + y * 4) + -6 = 2(y + 6) (-12 + 4y) + -6 = 2(y + 6) Reorder the terms: -12 + -6 + 4y = 2(y + 6) Combine like terms: -12 + -6 = -18 -18 + 4y = 2(y + 6) Reorder the terms: -18 + 4y = 2(6 + y) -18 + 4y = (6 * 2 + y * 2) -18 + 4y = (12 + 2y) Solving -18 + 4y = 12 + 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 + 4y + -2y = 12 + 2y + -2y Combine like terms: 4y + -2y = 2y -18 + 2y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 2y = 12 + 0 -18 + 2y = 12 Add '18' to each side of the equation. -18 + 18 + 2y = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 2y = 12 + 18 2y = 12 + 18 Combine like terms: 12 + 18 = 30 2y = 30 Divide each side by '2'. y = 15 Simplifying y = 15
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