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Simplifying 3(y + -5) + -4 = -3(-6y + 5) + -7y Reorder the terms: 3(-5 + y) + -4 = -3(-6y + 5) + -7y (-5 * 3 + y * 3) + -4 = -3(-6y + 5) + -7y (-15 + 3y) + -4 = -3(-6y + 5) + -7y Reorder the terms: -15 + -4 + 3y = -3(-6y + 5) + -7y Combine like terms: -15 + -4 = -19 -19 + 3y = -3(-6y + 5) + -7y Reorder the terms: -19 + 3y = -3(5 + -6y) + -7y -19 + 3y = (5 * -3 + -6y * -3) + -7y -19 + 3y = (-15 + 18y) + -7y Combine like terms: 18y + -7y = 11y -19 + 3y = -15 + 11y Solving -19 + 3y = -15 + 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. -19 + 3y + -11y = -15 + 11y + -11y Combine like terms: 3y + -11y = -8y -19 + -8y = -15 + 11y + -11y Combine like terms: 11y + -11y = 0 -19 + -8y = -15 + 0 -19 + -8y = -15 Add '19' to each side of the equation. -19 + 19 + -8y = -15 + 19 Combine like terms: -19 + 19 = 0 0 + -8y = -15 + 19 -8y = -15 + 19 Combine like terms: -15 + 19 = 4 -8y = 4 Divide each side by '-8'. y = -0.5 Simplifying y = -0.5
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