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Simplifying 3(y + -2) + -4 = -4(-5y + 3) + -9y Reorder the terms: 3(-2 + y) + -4 = -4(-5y + 3) + -9y (-2 * 3 + y * 3) + -4 = -4(-5y + 3) + -9y (-6 + 3y) + -4 = -4(-5y + 3) + -9y Reorder the terms: -6 + -4 + 3y = -4(-5y + 3) + -9y Combine like terms: -6 + -4 = -10 -10 + 3y = -4(-5y + 3) + -9y Reorder the terms: -10 + 3y = -4(3 + -5y) + -9y -10 + 3y = (3 * -4 + -5y * -4) + -9y -10 + 3y = (-12 + 20y) + -9y Combine like terms: 20y + -9y = 11y -10 + 3y = -12 + 11y Solving -10 + 3y = -12 + 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 + 3y + -11y = -12 + 11y + -11y Combine like terms: 3y + -11y = -8y -10 + -8y = -12 + 11y + -11y Combine like terms: 11y + -11y = 0 -10 + -8y = -12 + 0 -10 + -8y = -12 Add '10' to each side of the equation. -10 + 10 + -8y = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -8y = -12 + 10 -8y = -12 + 10 Combine like terms: -12 + 10 = -2 -8y = -2 Divide each side by '-8'. y = 0.25 Simplifying y = 0.25
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