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Simplifying -4(y + 4) = y + -9 + 5(2y + 1) Reorder the terms: -4(4 + y) = y + -9 + 5(2y + 1) (4 * -4 + y * -4) = y + -9 + 5(2y + 1) (-16 + -4y) = y + -9 + 5(2y + 1) Reorder the terms: -16 + -4y = y + -9 + 5(1 + 2y) -16 + -4y = y + -9 + (1 * 5 + 2y * 5) -16 + -4y = y + -9 + (5 + 10y) Reorder the terms: -16 + -4y = -9 + 5 + y + 10y Combine like terms: -9 + 5 = -4 -16 + -4y = -4 + y + 10y Combine like terms: y + 10y = 11y -16 + -4y = -4 + 11y Solving -16 + -4y = -4 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -16 + -4y + -11y = -4 + 11y + -11y Combine like terms: -4y + -11y = -15y -16 + -15y = -4 + 11y + -11y Combine like terms: 11y + -11y = 0 -16 + -15y = -4 + 0 -16 + -15y = -4 Add '16' to each side of the equation. -16 + 16 + -15y = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -15y = -4 + 16 -15y = -4 + 16 Combine like terms: -4 + 16 = 12 -15y = 12 Divide each side by '-15'. y = -0.8 Simplifying y = -0.8
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