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Simplifying 7y + -45 = -4(y + 3) Reorder the terms: -45 + 7y = -4(y + 3) Reorder the terms: -45 + 7y = -4(3 + y) -45 + 7y = (3 * -4 + y * -4) -45 + 7y = (-12 + -4y) Solving -45 + 7y = -12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -45 + 7y + 4y = -12 + -4y + 4y Combine like terms: 7y + 4y = 11y -45 + 11y = -12 + -4y + 4y Combine like terms: -4y + 4y = 0 -45 + 11y = -12 + 0 -45 + 11y = -12 Add '45' to each side of the equation. -45 + 45 + 11y = -12 + 45 Combine like terms: -45 + 45 = 0 0 + 11y = -12 + 45 11y = -12 + 45 Combine like terms: -12 + 45 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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