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Simplifying 7y + -4(3y + 4) = 7 + -1(11 + -11y) Reorder the terms: 7y + -4(4 + 3y) = 7 + -1(11 + -11y) 7y + (4 * -4 + 3y * -4) = 7 + -1(11 + -11y) 7y + (-16 + -12y) = 7 + -1(11 + -11y) Reorder the terms: -16 + 7y + -12y = 7 + -1(11 + -11y) Combine like terms: 7y + -12y = -5y -16 + -5y = 7 + -1(11 + -11y) -16 + -5y = 7 + (11 * -1 + -11y * -1) -16 + -5y = 7 + (-11 + 11y) Combine like terms: 7 + -11 = -4 -16 + -5y = -4 + 11y Solving -16 + -5y = -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 + -5y + -11y = -4 + 11y + -11y Combine like terms: -5y + -11y = -16y -16 + -16y = -4 + 11y + -11y Combine like terms: 11y + -11y = 0 -16 + -16y = -4 + 0 -16 + -16y = -4 Add '16' to each side of the equation. -16 + 16 + -16y = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -16y = -4 + 16 -16y = -4 + 16 Combine like terms: -4 + 16 = 12 -16y = 12 Divide each side by '-16'. y = -0.75 Simplifying y = -0.75
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