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Simplifying -3y + 5(-3y + -9) = -4 + -2(7 + -1y) Reorder the terms: -3y + 5(-9 + -3y) = -4 + -2(7 + -1y) -3y + (-9 * 5 + -3y * 5) = -4 + -2(7 + -1y) -3y + (-45 + -15y) = -4 + -2(7 + -1y) Reorder the terms: -45 + -3y + -15y = -4 + -2(7 + -1y) Combine like terms: -3y + -15y = -18y -45 + -18y = -4 + -2(7 + -1y) -45 + -18y = -4 + (7 * -2 + -1y * -2) -45 + -18y = -4 + (-14 + 2y) Combine like terms: -4 + -14 = -18 -45 + -18y = -18 + 2y Solving -45 + -18y = -18 + 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. -45 + -18y + -2y = -18 + 2y + -2y Combine like terms: -18y + -2y = -20y -45 + -20y = -18 + 2y + -2y Combine like terms: 2y + -2y = 0 -45 + -20y = -18 + 0 -45 + -20y = -18 Add '45' to each side of the equation. -45 + 45 + -20y = -18 + 45 Combine like terms: -45 + 45 = 0 0 + -20y = -18 + 45 -20y = -18 + 45 Combine like terms: -18 + 45 = 27 -20y = 27 Divide each side by '-20'. y = -1.35 Simplifying y = -1.35
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