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Simplifying 4y + -19 = -7(y + 9) Reorder the terms: -19 + 4y = -7(y + 9) Reorder the terms: -19 + 4y = -7(9 + y) -19 + 4y = (9 * -7 + y * -7) -19 + 4y = (-63 + -7y) Solving -19 + 4y = -63 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -19 + 4y + 7y = -63 + -7y + 7y Combine like terms: 4y + 7y = 11y -19 + 11y = -63 + -7y + 7y Combine like terms: -7y + 7y = 0 -19 + 11y = -63 + 0 -19 + 11y = -63 Add '19' to each side of the equation. -19 + 19 + 11y = -63 + 19 Combine like terms: -19 + 19 = 0 0 + 11y = -63 + 19 11y = -63 + 19 Combine like terms: -63 + 19 = -44 11y = -44 Divide each side by '11'. y = -4 Simplifying y = -4
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