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Simplifying -45 + 5y + 4 = 2(4y + -4) + -6 Reorder the terms: -45 + 4 + 5y = 2(4y + -4) + -6 Combine like terms: -45 + 4 = -41 -41 + 5y = 2(4y + -4) + -6 Reorder the terms: -41 + 5y = 2(-4 + 4y) + -6 -41 + 5y = (-4 * 2 + 4y * 2) + -6 -41 + 5y = (-8 + 8y) + -6 Reorder the terms: -41 + 5y = -8 + -6 + 8y Combine like terms: -8 + -6 = -14 -41 + 5y = -14 + 8y Solving -41 + 5y = -14 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -41 + 5y + -8y = -14 + 8y + -8y Combine like terms: 5y + -8y = -3y -41 + -3y = -14 + 8y + -8y Combine like terms: 8y + -8y = 0 -41 + -3y = -14 + 0 -41 + -3y = -14 Add '41' to each side of the equation. -41 + 41 + -3y = -14 + 41 Combine like terms: -41 + 41 = 0 0 + -3y = -14 + 41 -3y = -14 + 41 Combine like terms: -14 + 41 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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