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Simplifying -59 + 10y + 4 = 6(3y + -2) + -3 Reorder the terms: -59 + 4 + 10y = 6(3y + -2) + -3 Combine like terms: -59 + 4 = -55 -55 + 10y = 6(3y + -2) + -3 Reorder the terms: -55 + 10y = 6(-2 + 3y) + -3 -55 + 10y = (-2 * 6 + 3y * 6) + -3 -55 + 10y = (-12 + 18y) + -3 Reorder the terms: -55 + 10y = -12 + -3 + 18y Combine like terms: -12 + -3 = -15 -55 + 10y = -15 + 18y Solving -55 + 10y = -15 + 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. -55 + 10y + -18y = -15 + 18y + -18y Combine like terms: 10y + -18y = -8y -55 + -8y = -15 + 18y + -18y Combine like terms: 18y + -18y = 0 -55 + -8y = -15 + 0 -55 + -8y = -15 Add '55' to each side of the equation. -55 + 55 + -8y = -15 + 55 Combine like terms: -55 + 55 = 0 0 + -8y = -15 + 55 -8y = -15 + 55 Combine like terms: -15 + 55 = 40 -8y = 40 Divide each side by '-8'. y = -5 Simplifying y = -5
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