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Simplifying 7(2y + -5) + -6(3y + 6) = 4y Reorder the terms: 7(-5 + 2y) + -6(3y + 6) = 4y (-5 * 7 + 2y * 7) + -6(3y + 6) = 4y (-35 + 14y) + -6(3y + 6) = 4y Reorder the terms: -35 + 14y + -6(6 + 3y) = 4y -35 + 14y + (6 * -6 + 3y * -6) = 4y -35 + 14y + (-36 + -18y) = 4y Reorder the terms: -35 + -36 + 14y + -18y = 4y Combine like terms: -35 + -36 = -71 -71 + 14y + -18y = 4y Combine like terms: 14y + -18y = -4y -71 + -4y = 4y Solving -71 + -4y = 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. -71 + -4y + -4y = 4y + -4y Combine like terms: -4y + -4y = -8y -71 + -8y = 4y + -4y Combine like terms: 4y + -4y = 0 -71 + -8y = 0 Add '71' to each side of the equation. -71 + 71 + -8y = 0 + 71 Combine like terms: -71 + 71 = 0 0 + -8y = 0 + 71 -8y = 0 + 71 Combine like terms: 0 + 71 = 71 -8y = 71 Divide each side by '-8'. y = -8.875 Simplifying y = -8.875
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