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Simplifying 3(y + -4) + -6 = -4(-6y + 8) + -3y Reorder the terms: 3(-4 + y) + -6 = -4(-6y + 8) + -3y (-4 * 3 + y * 3) + -6 = -4(-6y + 8) + -3y (-12 + 3y) + -6 = -4(-6y + 8) + -3y Reorder the terms: -12 + -6 + 3y = -4(-6y + 8) + -3y Combine like terms: -12 + -6 = -18 -18 + 3y = -4(-6y + 8) + -3y Reorder the terms: -18 + 3y = -4(8 + -6y) + -3y -18 + 3y = (8 * -4 + -6y * -4) + -3y -18 + 3y = (-32 + 24y) + -3y Combine like terms: 24y + -3y = 21y -18 + 3y = -32 + 21y Solving -18 + 3y = -32 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -18 + 3y + -21y = -32 + 21y + -21y Combine like terms: 3y + -21y = -18y -18 + -18y = -32 + 21y + -21y Combine like terms: 21y + -21y = 0 -18 + -18y = -32 + 0 -18 + -18y = -32 Add '18' to each side of the equation. -18 + 18 + -18y = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -18y = -32 + 18 -18y = -32 + 18 Combine like terms: -32 + 18 = -14 -18y = -14 Divide each side by '-18'. y = 0.7777777778 Simplifying y = 0.7777777778
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