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Simplifying 7(y + -1) + -3 = -4(-5y + 4) + -9y Reorder the terms: 7(-1 + y) + -3 = -4(-5y + 4) + -9y (-1 * 7 + y * 7) + -3 = -4(-5y + 4) + -9y (-7 + 7y) + -3 = -4(-5y + 4) + -9y Reorder the terms: -7 + -3 + 7y = -4(-5y + 4) + -9y Combine like terms: -7 + -3 = -10 -10 + 7y = -4(-5y + 4) + -9y Reorder the terms: -10 + 7y = -4(4 + -5y) + -9y -10 + 7y = (4 * -4 + -5y * -4) + -9y -10 + 7y = (-16 + 20y) + -9y Combine like terms: 20y + -9y = 11y -10 + 7y = -16 + 11y Solving -10 + 7y = -16 + 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. -10 + 7y + -11y = -16 + 11y + -11y Combine like terms: 7y + -11y = -4y -10 + -4y = -16 + 11y + -11y Combine like terms: 11y + -11y = 0 -10 + -4y = -16 + 0 -10 + -4y = -16 Add '10' to each side of the equation. -10 + 10 + -4y = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = -16 + 10 -4y = -16 + 10 Combine like terms: -16 + 10 = -6 -4y = -6 Divide each side by '-4'. y = 1.5 Simplifying y = 1.5
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