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Simplifying -37 + 4y + 2 = 2(4y + -5) + -5 Reorder the terms: -37 + 2 + 4y = 2(4y + -5) + -5 Combine like terms: -37 + 2 = -35 -35 + 4y = 2(4y + -5) + -5 Reorder the terms: -35 + 4y = 2(-5 + 4y) + -5 -35 + 4y = (-5 * 2 + 4y * 2) + -5 -35 + 4y = (-10 + 8y) + -5 Reorder the terms: -35 + 4y = -10 + -5 + 8y Combine like terms: -10 + -5 = -15 -35 + 4y = -15 + 8y Solving -35 + 4y = -15 + 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. -35 + 4y + -8y = -15 + 8y + -8y Combine like terms: 4y + -8y = -4y -35 + -4y = -15 + 8y + -8y Combine like terms: 8y + -8y = 0 -35 + -4y = -15 + 0 -35 + -4y = -15 Add '35' to each side of the equation. -35 + 35 + -4y = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -4y = -15 + 35 -4y = -15 + 35 Combine like terms: -15 + 35 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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