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Simplifying -4y + -5(2y + 7) = 4 + -1(-9 + -1y) Reorder the terms: -4y + -5(7 + 2y) = 4 + -1(-9 + -1y) -4y + (7 * -5 + 2y * -5) = 4 + -1(-9 + -1y) -4y + (-35 + -10y) = 4 + -1(-9 + -1y) Reorder the terms: -35 + -4y + -10y = 4 + -1(-9 + -1y) Combine like terms: -4y + -10y = -14y -35 + -14y = 4 + -1(-9 + -1y) -35 + -14y = 4 + (-9 * -1 + -1y * -1) -35 + -14y = 4 + (9 + 1y) Combine like terms: 4 + 9 = 13 -35 + -14y = 13 + 1y Solving -35 + -14y = 13 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -35 + -14y + -1y = 13 + 1y + -1y Combine like terms: -14y + -1y = -15y -35 + -15y = 13 + 1y + -1y Combine like terms: 1y + -1y = 0 -35 + -15y = 13 + 0 -35 + -15y = 13 Add '35' to each side of the equation. -35 + 35 + -15y = 13 + 35 Combine like terms: -35 + 35 = 0 0 + -15y = 13 + 35 -15y = 13 + 35 Combine like terms: 13 + 35 = 48 -15y = 48 Divide each side by '-15'. y = -3.2 Simplifying y = -3.2
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