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Simplifying -5(2y + 1) + -11 = -4(y + 7) + 2y Reorder the terms: -5(1 + 2y) + -11 = -4(y + 7) + 2y (1 * -5 + 2y * -5) + -11 = -4(y + 7) + 2y (-5 + -10y) + -11 = -4(y + 7) + 2y Reorder the terms: -5 + -11 + -10y = -4(y + 7) + 2y Combine like terms: -5 + -11 = -16 -16 + -10y = -4(y + 7) + 2y Reorder the terms: -16 + -10y = -4(7 + y) + 2y -16 + -10y = (7 * -4 + y * -4) + 2y -16 + -10y = (-28 + -4y) + 2y Combine like terms: -4y + 2y = -2y -16 + -10y = -28 + -2y Solving -16 + -10y = -28 + -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. -16 + -10y + 2y = -28 + -2y + 2y Combine like terms: -10y + 2y = -8y -16 + -8y = -28 + -2y + 2y Combine like terms: -2y + 2y = 0 -16 + -8y = -28 + 0 -16 + -8y = -28 Add '16' to each side of the equation. -16 + 16 + -8y = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -8y = -28 + 16 -8y = -28 + 16 Combine like terms: -28 + 16 = -12 -8y = -12 Divide each side by '-8'. y = 1.5 Simplifying y = 1.5
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