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Simplifying -54 + 4y + 7 = 2(4y + -5) + -9 Reorder the terms: -54 + 7 + 4y = 2(4y + -5) + -9 Combine like terms: -54 + 7 = -47 -47 + 4y = 2(4y + -5) + -9 Reorder the terms: -47 + 4y = 2(-5 + 4y) + -9 -47 + 4y = (-5 * 2 + 4y * 2) + -9 -47 + 4y = (-10 + 8y) + -9 Reorder the terms: -47 + 4y = -10 + -9 + 8y Combine like terms: -10 + -9 = -19 -47 + 4y = -19 + 8y Solving -47 + 4y = -19 + 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. -47 + 4y + -8y = -19 + 8y + -8y Combine like terms: 4y + -8y = -4y -47 + -4y = -19 + 8y + -8y Combine like terms: 8y + -8y = 0 -47 + -4y = -19 + 0 -47 + -4y = -19 Add '47' to each side of the equation. -47 + 47 + -4y = -19 + 47 Combine like terms: -47 + 47 = 0 0 + -4y = -19 + 47 -4y = -19 + 47 Combine like terms: -19 + 47 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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