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Simplifying -90 + 10y + 3 = 6(3y + -3) + -5 Reorder the terms: -90 + 3 + 10y = 6(3y + -3) + -5 Combine like terms: -90 + 3 = -87 -87 + 10y = 6(3y + -3) + -5 Reorder the terms: -87 + 10y = 6(-3 + 3y) + -5 -87 + 10y = (-3 * 6 + 3y * 6) + -5 -87 + 10y = (-18 + 18y) + -5 Reorder the terms: -87 + 10y = -18 + -5 + 18y Combine like terms: -18 + -5 = -23 -87 + 10y = -23 + 18y Solving -87 + 10y = -23 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -87 + 10y + -18y = -23 + 18y + -18y Combine like terms: 10y + -18y = -8y -87 + -8y = -23 + 18y + -18y Combine like terms: 18y + -18y = 0 -87 + -8y = -23 + 0 -87 + -8y = -23 Add '87' to each side of the equation. -87 + 87 + -8y = -23 + 87 Combine like terms: -87 + 87 = 0 0 + -8y = -23 + 87 -8y = -23 + 87 Combine like terms: -23 + 87 = 64 -8y = 64 Divide each side by '-8'. y = -8 Simplifying y = -8
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