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Simplifying -4 + -6(4y + 6) = 3(7y + -4) + -6 Reorder the terms: -4 + -6(6 + 4y) = 3(7y + -4) + -6 -4 + (6 * -6 + 4y * -6) = 3(7y + -4) + -6 -4 + (-36 + -24y) = 3(7y + -4) + -6 Combine like terms: -4 + -36 = -40 -40 + -24y = 3(7y + -4) + -6 Reorder the terms: -40 + -24y = 3(-4 + 7y) + -6 -40 + -24y = (-4 * 3 + 7y * 3) + -6 -40 + -24y = (-12 + 21y) + -6 Reorder the terms: -40 + -24y = -12 + -6 + 21y Combine like terms: -12 + -6 = -18 -40 + -24y = -18 + 21y Solving -40 + -24y = -18 + 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. -40 + -24y + -21y = -18 + 21y + -21y Combine like terms: -24y + -21y = -45y -40 + -45y = -18 + 21y + -21y Combine like terms: 21y + -21y = 0 -40 + -45y = -18 + 0 -40 + -45y = -18 Add '40' to each side of the equation. -40 + 40 + -45y = -18 + 40 Combine like terms: -40 + 40 = 0 0 + -45y = -18 + 40 -45y = -18 + 40 Combine like terms: -18 + 40 = 22 -45y = 22 Divide each side by '-45'. y = -0.4888888889 Simplifying y = -0.4888888889
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